How do you find the exact value of #csc((2pi)/3)#? Trigonometry Right Triangles Trigonometric Functions of Any Angle 1 Answer Nghi N. Jun 17, 2016 -2 Explanation: #csc (2pi)/3 = 1/(cos ((2pi)/3)# . Find cos (2pi/3) Trig table --># cos (2pi)/3 = -1/2# Therefor, #csc ((2pi)/3) = -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 15306 views around the world You can reuse this answer Creative Commons License