What is the value of #cos((2pi)/3)#? Trigonometry Right Triangles Trigonometric Functions of Any Angle 1 Answer Jim G. Jul 30, 2016 #-1/2# Explanation: #(2pi)/3 "is an angle in the " color(blue)"2nd quadrant where the cos ratio is negatve"# #rArrcos((2pi)/3)=-cos(pi-(2pi)/3)=-cos(pi/3)=-1/2# 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 8002 views around the world You can reuse this answer Creative Commons License