How do you find the exact value of sin((3pi)/4)? Trigonometry Right Triangles Trigonometric Functions of Any Angle 1 Answer Nityananda Nov 30, 2016 1/sqrt2 Explanation: sin[(3pi)/4]= sin [(3*180)/4]= sin 135 degree sin(90+45) degree = cos 45 degree = 1/sqrt2 Answer link Related questions How do you find the trigonometric functions of any angle? What is the reference angle? How do you use the ordered pairs on a unit circle to evaluate a trigonometric function of any angle? What is the reference angle for 140^\circ? How do you find the value of cot 300^@? 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? How do you know if sin 30 = sin 150? How do you show that (costheta)(sectheta) = 1 if theta=pi/4? See all questions in Trigonometric Functions of Any Angle Impact of this question 108345 views around the world You can reuse this answer Creative Commons License