How do you find the exact value of sin (5pi)/3? Trigonometry Right Triangles Trigonometric Functions of Any Angle 1 Answer Gaurang B. · Sep 25, 2015 0 for sin(5pi)/3 and -(sqrt3)/2 for sin((5π)/3) Explanation: sin(5pi)/3=0/3=0 as sin(kpi)=0 for all integer values of k For sin((5π)/3), sin((5π)/3)=sin((6π-π)/3) =sin(2π-π/3) =-sin(π/3) =-sqrt3/2 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 123037 views around the world You can reuse this answer Creative Commons License