Sin 135 degrees

Find the exact value of each expression(no calculator): 1) sin^2(30 degrees) + 1/ sec^2(20 degrees) Find the indicated value. tan(405 degrees) Find the exact value of the expression. sin 30 degrees cos 60 degrees; Find the exact value of the expression. sin 165 degrees cos 45 degrees; Find the exact value of the expression. sin 45 degrees cos ...

Answer: sin (135°) = 0.7071067812. sin (135°) is exactly: √2/2. Note: angle unit is set to degrees. Use our sin (x) calculator to find the exact value of sine of 135 degrees - …a. 90 degree b. 180 degree c. -270 degree d. -540 degree In the following figure, the circle shown is the unit circle. Find the coordinates of P(x, y). Round your answer to 3 decimal places Given P (0.707, 0.707) is a point on the unit circle with angle 45 degree, estimate sin 135 degree and cos 135 degreeQuestion: what is sin 135 degrees exact value. what is sin 1 3 5 degrees exact value. There are 2 steps to solve this one. Powered by Chegg AI. Share Share.Calculate sin(12) sin is found using Opposite/Hypotenuse. Determine quadrant: Since 0 ≤ 12 ≤ 90 degrees it is in Quadrant I. sin, cos and tan are positive. Determine angle type: 12 90°, so it is acute. sin(12) = 0.20791169058367. Write sin(12) in terms of cos. Since 12° is less than 90... We can express this as a cofunction. sin(θ) = cos ...The true heading = 135° The resultant ground track = 130° The true airspeed = 135 knots. The ground speed = 140 knots. Given that the true airspeed the ground speed and the wind direction and magnitude form a triangle, we have; From cosine rule, we have; a² = b² + c² - 2×b×c×cos(A) Where. a = The magnitude of the wind speed in knotSimplify sin(135)-cos(30) Step 1. Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Step 2. The exact value of is . Step 3. The exact value of is . Step 4. The result can be shown in multiple forms. Exact Form: Decimal Form:

Trigonometrical ratios of some particular angles i.e., 120°, -135°, 150° and 180° are given below. 1. sin 120° = sin (1 × 90° + 30°) = cos 30° = √3/2;135° 135 °. Since the angle 135° 135 ° is in the second quadrant, subtract 135° 135 ° from 180° 180 °. 180°− 135° 180 ° - 135 °. Subtract 135 135 from 180 180. 45° 45 °. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a ...Trigonometry. Find the Reference Angle cos (135) cos (135) cos ( 135) Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because cosine is negative in the second quadrant. −cos(45) - cos ( 45) The exact value of cos(45) cos ( 45) is √2 2 2 2. − √2 2 - 2 2.ctg 135° = -1. ctg 135 degrees = -1. The ctg of 135 degrees is -1, the same as ctg of 135 degrees in radians. To obtain 135 degrees in radian multiply 135° by π / 180° = 3/4 π. Ctg 135degrees = ctg (3/4 × π). Our results of ctg135° have been rounded to five decimal places. If you want cotangent 135° with higher accuracy, then use the ...There is a great degree of differences between professional's degrees in this field, and those differences may impact the effectiveness and quality of your psychotherapy. My Opinio...We need to find the value of the sin ⁡ θ \sin\theta sin θ without using a calculator, where θ \theta θ is (− 135 °) (-135\degree) (− 135°). Step 2 2 of 5Algebra. Find the Exact Value sin (135 degrees -30 degrees ) sin(135° − 30°) sin ( 135 ° - 30 °) Subtract 30° 30 ° from 135° 135 °. sin(105) sin ( 105) The exact value of sin(105) …Degrees. Degrees are a unit of measurement for angles, representing the rotation between two rays. The degree angle system divides a full rotation into 360 units called degrees. In mathematics, the degree symbol is used to represent an angle measured in degrees. The symbol is also used in physics to represent the unit of temperature: Fahrenheit.

Calculate sin(135) sin is found using Opposite/Hypotenuse. Determine quadrant: Since 90 135 180 degrees it is located in Quadrant II. sin is positive. Determine angle type: 135 > …Cos 225 degrees is the value of cosine trigonometric function for an angle equal to 225 degrees. Understand methods to find the value of cos 225 degrees with examples and FAQs. ... Example 2: Find the value of 2 cos(225°)/3 sin(-135°). Solution: Using trigonometric identities, we know, cos(225°) = sin(90° - 225°) = sin(-135°). ⇒ cos(225 ...In trigonometry we use the functions of angles like sin, cos and tan. It turns out that angles that have the same reference angles always have the same trig function values (the sign may vary). So for example sin(45) = 0.707. The angle 135° has a reference angle of 45°, so its sin will be the same. Checking on a calculator: sin(135) = 0.707Online calculator to get the trig function values for standard degree and radian values. Listed here all the trig functions to calculate the sine, cosine, tangent, secant, cosecant and cotangent values for 135° degrees. Sine 135° Degrees. Cos 135° Degrees. Tan 135° Degrees. Sec 135° Degrees. Csc 135° Degrees. Cot 135° Degrees. Click the ...Trigonometry is a branch of mathematics concerned with relationships between angles and side lengths of triangles. In particular, the trigonometric functions relate the angles of a right triangle with ratios of its side lengths. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical ...

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sin(135°) sin ( 135 °) Find the value using the definition of sine. sin(135°) = opposite hypotenuse sin ( 135 °) = opposite hypotenuse. Substitute the values into the definition. sin(135°) = √2 2 1 sin ( 135 °) = 2 2 1. Divide √2 2 2 2 by 1 1. √2 2 2 2. The result can be shown in multiple forms. Exact Form:299. Convert from Degrees to Radians. 18. 18 18. 300. Convert from Degrees to Radians. 270 degrees. 270° 270 °. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.The unit circle definition allows us to extend the domain of sine and cosine to all real numbers. The process for determining the sine/cosine of any angle θ is as follows: Starting from ( 1, 0) ‍. , move along the unit circle in the counterclockwise direction until the angle that is formed between your position, the origin, and the positive ...How do I convert the polar coordinates #3(cos 210^circ +i\ sin 210^circ)# into rectangular form? What is the modulus of the complex number #z=3+3i#? What is DeMoivre's theorem?Trigonometric functions. This online calculator computes the values of elementary trigonometric functions, such as sin, cos, tg, ctg, sec, cosec for an angle, which can be set in degrees, radians, or grads. Trigonometric functions are the set of elementary functions that relates the angles of a triangle to the lengths of the sides of the triangle.

Question: Complete the following simplification. left bracket 5 left parenthesis cosine 135 degrees plus i sine 135 degrees right parenthesis right bracket left bracket 8 left parenthesis cosine 45 degrees plus i sine 45 degrees right parenthesis right bracket[5(cos135°+isin135°)][8(cos45°+isin45°)] equals= _____(cosinecos ____plus+i sineisin ____)[cos 90° cos 45° - sin 90° sin 45°] [0 - sin 45°] ... We know that -135 degrees (going clockwise) is the same as 225 degrees (going counterclockwise). This lies in the 3rd quadrant. Taking the nearest x-axis, we find the reference angle to be 45 degrees. Either by going back to the special triangle (45-45-90 triangle) or finding cos(45 ...sin. ⁡. 135 ∘ = sin. ⁡. 3 π 4 = 2 2. where sin denotes the sine function .Explanation: For sin 26 degrees, the angle 26° lies between 0° and 90° (First Quadrant ). Since sine function is positive in the first quadrant, thus sin 26° value = 0.4383711. . . ⇒ sin 26° = sin 386° = sin 746°, and so on. Note: Since, sine is an odd function, the value of sin (-26°) = -sin (26°).To find the value of sin 225 degrees using the unit circle: Rotate ‘r’ anticlockwise to form a 225° angle with the positive x-axis. The sin of 225 degrees equals the y-coordinate (-0.7071) of the point of intersection (-0.7071, -0.7071) of unit circle and r. Hence the value of sin 225° = y = -0.7071 (approx)For sin 115 degrees, the angle 115° lies between 90° and 180° (Second Quadrant ). Since sine function is positive in the second quadrant, thus sin 115° value = 0.9063077. . . Since the sine function is a periodic function, we can represent sin 115° as, sin 115 degrees = sin (115° + n × 360°), n ∈ Z. ⇒ sin 115° = sin 475° = sin 835 ...For sin 115 degrees, the angle 115° lies between 90° and 180° (Second Quadrant ). Since sine function is positive in the second quadrant, thus sin 115° value = 0.9063077. . . Since the sine function is a periodic function, we can represent sin 115° as, sin 115 degrees = sin (115° + n × 360°), n ∈ Z. ⇒ sin 115° = sin 475° = sin 835 ...θ' = 360° - θ. If the angle θ is in quadrant IV, then the reference angle θ' is equal to 360° minus the angle θ. You can use our degrees to radians converter to determine the quadrant for an angle in radians. It's important to note that reference angles are always positive, regardless if the original angle is positive or negative.

Determine if True sin (45)=sin (135) sin(45) = sin(135) sin ( 45) = sin ( 135) The left side 0.70710678 0.70710678 is equal to the right side 0.70710678 0.70710678, which means that the given statement is always true. True. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with ...

Jan 18, 2024 · The sine of theta (sin θ) is the hypotenuse's vertical projection (green line); and; The cosine of theta (cos θ) is the hypotenuse's horizontal projection (blue line). We can rotate the radial line through the four quadrants and obtain the values of the trig functions from 0 to 360 degrees, as in the diagram below: sin 315 degrees = -√ (2)/2. The sin of 315 degrees is -√ (2)/2, the same as sin of 315 degrees in radians. To obtain 315 degrees in radian multiply 315° by π / 180° = 7/4 π. Sin 315degrees = sin (7/4 × π). Our results of sin315° have been rounded to five decimal places. If you want sine 315° with higher accuracy, then use the ...a unit of plane angular measurement that is equal to the angle at the center of a circle subtended by an arc whose length equals the radius or approximately 180°/π ~ 57.3 degrees. secant. the length of the hypotenuse divided by the length of the adjacent side. Also equals 1/cos (θ) sin. sin (θ) is the ratio of the opposite side of angle θ ...sin(angle ABC) = height / BC. sin(135 degrees) = height / 8 (1/2) = height / 8. height = 4. ... In this case, we know that the base is BC = 8 and the angle between AB and BC is 135 degrees. The height of the triangle is equal to the length of the altitude from A to BC. We can find the length of the altitude using the following formula:Last updated: Jun 05, 2023. Cite. Table of contents: What is sine function? Sine definition. Sine curve – sine waves. Sine graph and table (sin 0, sin 30 degrees...) Sine calculator …The rule for inverse sine is derived from the rule of sine function which is: a/sin⁡(A) = b/sin⁡(B) = c/sin⁡(C) Now, we'll derive the rule for side a, the rule for the remaining sides will be exactly the same a/sin⁡(A) = k a = sin (A) k Taking sin-1 on both sides1 Answer. Use the trig unit circle as proof. sin300 = sin( − 60+ 360) = sin( − 60) = −sin60 = −√3 2. cos300 = cos( − 60 +300) = cos60 = 1 2. tan300 = −√3 2:( 1 2) = − √3. cot300 = 1 √3 = −√3 3. sec300 = 1 cos300 = − 2 √3 = −2√3 3. csc300 = 1 sin300 = 2.The sine of the compound angle ninety degrees plus theta is equal to the value of cosine of angle theta. $\sin{(90^\circ+\theta)}$ $\,=\,$ $\cos{\theta}$ Usage. It is used as a formula in trigonometry to convert the sine of a compound angle ninety degrees plus an angle in terms of cosine of angle. Example. Evaluate $\sin{135^\circ}$May 25, 2016 ... Finding Exact Trig Values Using Special Angles (Degrees) ... Evaluating Trig Ratios (Degrees) ... Trigonometry: exact values of sin(675), cos ...a unit of plane angular measurement that is equal to the angle at the center of a circle subtended by an arc whose length equals the radius or approximately 180°/π ~ 57.3 degrees. secant. the length of the hypotenuse divided by the length of the adjacent side. Also equals 1/cos (θ) sin. sin (θ) is the ratio of the opposite side of angle θ ...

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(Note: "Degree" is also used for Temperature, but here we talk about Angles) The Degree Symbol ° We use a little circle ° following the number to mean degrees. For example 90° means 90 degrees. One Degree. This is how large 1 Degree is. The Full Circle. A Full Circle is 360° Half a circle is 180° (called a Straight Angle) Quarter of a ...Jan 18, 2024 · What is tan 30 using the unit circle? tan 30° = 1/√3. To find this answer on the unit circle, we start by finding the sin and cos values as the y-coordinate and x-coordinate, respectively: sin 30° = 1/2 and cos 30° = √3/2. Now use the formula. Recall that tan 30° = sin 30° / cos 30° = (1/2) / (√3/2) = 1/√3, as claimed. csc135° = √2. csc 135° = √2. csc 135 degrees = √2. The csc of 135 degrees is √2, the same as csc of 135 degrees in radians. To obtain 135 degrees in radian multiply 135° by π / 180° = 3/4 π. Csc 135degrees = csc (3/4 × π). Our results of csc135° have been rounded to five decimal places. If you want cosecant 135° with higher ...The rule for inverse sine is derived from the rule of sine function which is: a/sin⁡(A) = b/sin⁡(B) = c/sin⁡(C) Now, we'll derive the rule for side a, the rule for the remaining sides will be exactly the same a/sin⁡(A) = k a = sin (A) k Taking sin-1 on both sidesJan 3, 2024 · Solution: Since, we know that sin is positive in the 1st and 2nd Quadrant, here, 135° lies in the 2nd Quadrant, then. By the Trigonometric Identity of Supplementary Angles, We know that sin (180° – θ) = sin θ. Hence, sin 135° = sin (180° – 45°) = sin 45° {As given by Identity} = 1/√2. The cot of 135 degrees equals the x-coordinate(-0.7071) divided by y-coordinate(0.7071) of the point of intersection (-0.7071, 0.7071) of unit circle and r. Hence the value of cot 135° = x/y = -1. Cot 135° in Terms of Trigonometric Functions. Using trigonometry formulas, we can represent the cot 135 degrees as: cos(135°)/sin(135°)Answer: sin (30°) = 0.5. sin (30°) is exactly: 1/2. Note: angle unit is set to degrees. Online sine calculator. Accepts values in radians and in degrees. Free online sine calculator. sin (x) calculator.So sin30o =sin150o. The temperature T in oC of a particular city during a 24 hour period can be modelled by T = 10 + 8sin12πt where t is the time in hours, ... 96∘C /hour Explanation: T = 10+8sin12πt When it is 1200 time, t = 0 . When it is 1600 ... This follows from combining the next two facts: σ(T S)∪{0} = σ(ST)∪{0}, this is ...Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.Convert to Rectangular 2(cos(135)+isin(135)) Step 1. Simplify each term. Tap for more steps... Step 1.1. Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because cosine is negative in the second quadrant. Step 1.2.From the above equations, we get sin 60 degrees exact value as √3/2. In the same way, we can find the values for cos and tan ratios. Therefore, the exact value of sin 60 degrees is √3/2. Cos 0° = Sin 90° = 1 Cos 30°= Sin 60° = √3/2 Cos 45° = Sin 45° = 1/√2 Cos 60° = Sin 30° =1/2 Cos 90° = Sin 0° = 0 Also, ….

Trigonometry. Evaluate tan (135 degrees ) tan (135°) tan ( 135 °) Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because tangent is negative in the second quadrant. −tan(45) - tan ( 45) The exact value of tan(45) tan ( 45) is 1 1. −1⋅1 - 1 ⋅ 1.Find the Exact Value sin (135 degrees ) sin(135°) sin ( 135 °) Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. sin(45) sin ( 45) The exact value of sin(45) sin ( 45) is √2 2 2 2. √2 2 2 2. The result can be shown in multiple forms. Exact Form: √2 2 2 2.Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.Explanation: For sin 26 degrees, the angle 26° lies between 0° and 90° (First Quadrant ). Since sine function is positive in the first quadrant, thus sin 26° value = 0.4383711. . . ⇒ sin 26° = sin 386° = sin 746°, and so on. Note: Since, sine is an odd function, the value of sin (-26°) = -sin (26°).Math >. Calculus. Question #87681. a plane leaves the airport on a bearing of 45 degree travelling at 400 mph. the wind is blowing at bearing of 135 degree at the speed of 40mph. what is the actual velocity and direction of the plane? Expert's answer. \vec {v_a}=\vec {v_p}+\vec {v_w} va = vp + vw. where \vec {v_a} va - vector of the actual ...Urea does not have a boiling point. Instead, it skips boiling and simply decomposes at around 150 degrees Celsius. At around 135 degrees C, urea melts. Urea tastes slightly salty, ...Sep 7, 2021 · Erin from SVSU Micro Math helps you evaluate sine of an angle by using the unit circle. The angle is given in degree measure.Problem: Find sin (135°)Level: ... Degrees. Degrees are a unit of measurement for angles, representing the rotation between two rays. The degree angle system divides a full rotation into 360 units called degrees. In mathematics, the degree symbol is used to represent an angle measured in degrees. The symbol is also used in physics to represent the unit of temperature: Fahrenheit. Sin 135 degrees, How do you use the angle sum identity to find the exact value of sin255 ? sin255o =− 2 21+ 3 = −0.9659 Explanation: sin255o =sin(135o+120o) = sin135ocos120o+cos135osin120o ..., What is the value of #sin -45^@#? How do you find the trigonometric functions of values that are greater than #360^@#? How do you use the reference angles to find #sin210cos330-tan 135#?, Apr 25, 2020 ... Comments1 ; Trigonometry - Find Values of Trigonometric Ratios Greater than 90 Degrees | Trigonometry class 10. lets derive · 879K views ; Can you ..., This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. Question: Calculate sin 135 degree and cos 135 degree exactly. Use the fact that the point P corresponding to 135 degree on the unit circle, x^2 + y^= 1 line on the line y = -x sin 135 degree., Trigonometry questions and answers. Find the exact values of the cosine and sine of this angle. Then find the decimal values. Angle = 135 degrees cos135 degrees = ? Simplify answer , including any radicals. Use integers or fraction for any numbers sin 135 degrees=? cos135 degrees ( round to nearest hundredth as needed in decimal) sin 135 ..., The sine of an angle is the length of the opposite side divided by the length of the hypotenuse with the assumption that the angle is acute (. 0 ° < α < 90 °. \small0\degree < \alpha < 90\degree 0° < α < 90° or. 0 < α < π / 2. \small0 < \alpha < \pi/2 0 < α < π/2 ). The other sine definition is based on the unit circle., Calculate cos(135) cos is found using Adjacent/Hypotenuse. Determine quadrant: Since 90 135 180 degrees it is located in Quadrant II. sin is positive. Determine angle type: 135 > 90°, so it is obtuse. cos(135) = -√ 2 /2. Excel or Google Sheets formula: Excel or Google Sheets formula:=COS(RADIANS(135)) Special Angle Values, In this video, we learn to find the value of sin135. Here I have applied sin(180 - x) = sin(x) identity to find the value of sin(135). The URL of the video e..., Trigonometry questions and answers. Find the exact values of the cosine and sine of this angle. Then find the decimal values. Angle = 135 degrees cos135 degrees = ? Simplify answer , including any radicals. Use integers or fraction for any numbers sin 135 degrees=? cos135 degrees ( round to nearest hundredth as needed in decimal) sin 135 ..., (Note: "Degree" is also used for Temperature, but here we talk about Angles) The Degree Symbol ° We use a little circle ° following the number to mean degrees. For example 90° means 90 degrees. One Degree. This is how large 1 Degree is. The Full Circle. A Full Circle is 360° Half a circle is 180° (called a Straight Angle) Quarter of a ..., Step 1. The angle is given as θ = 135 ∘. Find the reference angle, the quadrant of the terminal side, and the sine and cosine of 135 Enter the exact answers. The terminal side of the angle 135 lies in quadrant Click for Live Its reference angle is Number ab sin (a) sin (135") = sin (135) 2 cos (135"), Trigonometric functions. This online calculator computes the values of elementary trigonometric functions, such as sin, cos, tg, ctg, sec, cosec for an angle, which can be set in degrees, radians, or grads. Trigonometric functions are the set of elementary functions that relates the angles of a triangle to the lengths of the sides of the triangle., How do you use the sum and difference identities to find the exact value of tan 105 degrees? How do you apply the sum and difference formula to solve trigonometric equations? How do you evaluate #sin(45)cos(15)+cos(45)sin(15)#?, Lượng giác. Tìm Giá Trị Chính Xác sin (135 độ ) sin(135°) sin ( 135 °) Áp dụng góc tham chiếu bằng cách tìm góc có các giá trị lượng giác tương đương trong góc phần tư thứ nhất. sin(45) sin ( 45) Giá trị chính xác của sin(45) sin ( 45) là √2 2 2 2. √2 2 2 2. Kết quả có thể ..., Use a diagram to explain why {eq}\sin(135) = \sin (45) {/eq}, but {eq}\cos (135) eq \cos (45) {/eq}. Sine and Cosine on the Unit Circle: The trigonometric functions sine and cosine are introduced in terms of the ratios of sides in a right triangle, but they can be defined more broadly than that., In this video, we learn to find the value of sin135. Here I have applied sin(180 - x) = sin(x) identity to find the value of sin(135). The URL of the video e..., In this video, we learn to find the value of sin(-135). Here I have applied sin(-x) = -sin(x) identity to find the value of sin -135. The URL of the video ex..., Sine Function: Degrees. Save Copy. Log InorSign Up. y = a · sin k x − d + c. 1. Graph sine functions by adjusting the a, k and c and d values. You can use the slider, select the number and change it, or "play" the animation. 2. a = 1. 3. k = 1. 4. c = 0. 5. d = 0. 6. The period is the value below: 7. 3 6 0 k ..., From your diagram, rotating 135 degrees anti-clockwise results in thumb up (and +ve value for sin(135)). Measuring clockwise would be thumb down (and -ve for sin(225)). So in your diagram (with a +ve charged proton) field is either +283 attoT out of the page, or -283 attoT into the page (which are both the same thing)., The sine formula is: sin (α) = opposite hypotenuse = a c. Thus, the sine of angle α in a right triangle is equal to the opposite side’s length divided by the hypotenuse. To find the ratio of sine, simply enter the length of the opposite and hypotenuse and simplify. For example, let’s calculate the sine of angle α in a triangle with the ..., When the terminal side of the given angle is in the second quadrant (angles from 90° to 180°), our reference angle is calculated by subtracting the given angle from 180 degrees. So, you can use the formula below: Reference angle° = 180 - angle. Thus, the reference angle of 135.5° = 180 - 135.5 = 44.5°. Important: the angle unit is set to ..., sin 45° = √ (2)/2. sin 45 degrees = √ (2)/2. The sin of 45 degrees is √ (2)/2, the same as sin of 45 degrees in radians. To obtain 45 degrees in radian multiply 45° by π / 180° = 1/4 π. Sin 45degrees = sin (1/4 × π). Our results of sin45° have been rounded to five decimal places. If you want sine 45° with higher accuracy, then ..., What is tan 30 using the unit circle? tan 30° = 1/√3. To find this answer on the unit circle, we start by finding the sin and cos values as the y-coordinate and x-coordinate, respectively: sin 30° = 1/2 and cos 30° = √3/2. Now use the formula. Recall that tan 30° = sin 30° / cos 30° = (1/2) / (√3/2) = 1/√3, as claimed., sin(135°) sin ( 135 °) Find the value using the definition of sine. sin(135°) = opposite hypotenuse sin ( 135 °) = opposite hypotenuse. Substitute the values into the definition. sin(135°) = √2 2 1 sin ( 135 °) = 2 2 1. Divide √2 2 2 2 by 1 1. √2 2 2 2. The result can be shown in multiple forms. Exact Form:, Calculate the value of sin 225 °: First, determine the sign of sin 225 °. 225 ° can be rewritten as 225 ° = 180 ° + 45 ° = 2 × 90 ° + 45 °. Thus 225 ° belongs to the third quadrant. It is known that the values of sines are negative -in the third quadrant. It is also known that, sin 180 ° + x ° =-sin x °. Thus, sin 225 ° = sin 180 ..., , Evaluate sin (135 degrees ) sin(135°) sin ( 135 °) Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. sin(45) sin ( 45) The exact value of sin(45) sin ( 45) is √2 2 2 2. √2 2 2 2. The result can be shown in multiple forms. Exact Form: √2 2 2 2., Solve your math problems using our free math solver with step-by-step solutions. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more., Without using a calculator, compute the sine and cosine of 135° by using the reference angle. Give the sine and cosine as reduced fractions or with radicals. Do not use decimals.What is the reference angle? degrees.In what quadrant is this angle?sin(135°)=cos(135°)=, Answer: sin (135°) = 0.7071067812. sin (135°) is exactly: √2/2. Note: angle unit is set to degrees. Use our sin (x) calculator to find the exact value of sine of 135 degrees - …, Degrees. Degrees are a unit of measurement for angles, representing the rotation between two rays. The degree angle system divides a full rotation into 360 units called degrees. In mathematics, the degree symbol is used to represent an angle measured in degrees. The symbol is also used in physics to represent the unit of temperature: Fahrenheit., Explanation: For sin 1 degrees, the angle 1° lies between 0° and 90° (First Quadrant ). Since sine function is positive in the first quadrant, thus sin 1° value = 0.0174524. . . Since the sine function is a periodic function, we can represent sin 1° as, sin 1 degrees = sin (1° + n × 360°), n ∈ Z. ⇒ sin 1° = sin 361° = sin 721 ..., Step 1. (a) If t = 0 the value of sine is sin 0 = 0 and cos 0 = 1 . (b) If t = 45 then sin 45 = 1 2 and cos 45 = 1 2 . View the full answer Step 2. Unlock.