Find the Exact Value sec(-pi/3)^2

$\sec^{2} (- \frac{π}{3})$

Step 1

Add full rotations of $2 π$ until the angle is greater than or equal to $0$ and less than $2 π$ .

$\sec^{2} (\frac{5 π}{3})$

Step 2

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant.

$\sec^{2} (\frac{π}{3})$

Step 3

The exact value of $\sec (\frac{π}{3})$ is $2$ .

$2^{2}$

Step 4

Raise $2$ to the power of $2$ .

$4$