How do you evaluate csc((-4pi)/3)? Trigonometry Right Triangles Trigonometric Functions of Any Angle 1 Answer Somebody N. Nov 12, 2017 (2sqrt(3))/3 Explanation: csc(theta)=1/sintheta (-4pi)/3=pi-(4pi)/3=pi/3 sin(pi/3)=sqrt(3)/2 1/(sin(pi/3))=1/(sqrt(3)/2)=(2sqrt(3))/3 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 4928 views around the world You can reuse this answer Creative Commons License