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 8165 views around the world You can reuse this answer Creative Commons License