How do you evaluate #sec^2 (pi/3)#? Trigonometry Right Triangles Trigonometric Functions of Any Angle 1 Answer Shwetank Mauria Mar 26, 2016 #sec^2(pi/3)=4# Explanation: As #cos(pi/3)=1/2#, #sec(pi/3)=1/(cos(pi/3))=1/(1/2)=2# Hence #sec^2(pi/3)=2^2=4# 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 13820 views around the world You can reuse this answer Creative Commons License