What is the sec^2 (pi/3)? Trigonometry Right Triangles Trigonometric Functions of Any Angle 2 Answers Alan P. Sep 7, 2015 #sec^2(pi/3) = 4# Explanation: #sec(pi/3) = 1/cos(pi/3)# #color(white)("XXXX")= 1/(1/2) = 2# #sec^2(pi/3) = 2^2 = 4# Answer link Chandra S. Sep 7, 2015 #sec^2# #pi/3# = 1/ [#cos^2##pi/3# ] = 1/#(1/2) ^2# = 4 Explanation: 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 65437 views around the world You can reuse this answer Creative Commons License