What is sin(2pi/3) equal to? Trigonometry Right Triangles Trigonometric Functions of Any Angle 1 Answer sankarankalyanam Mar 9, 2018 #color(green)(sqrt3 / 2)# Explanation: #sin ((2pi) / 3) = sin (pi - ((2pi)/3) )= sin ((3pi - 2pi) / 3) = sin (pi)/3# #sin ((pi)/3) = sin 60 = 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 191533 views around the world You can reuse this answer Creative Commons License