Evaluate sec(-pi/3)^2

$\sec^{2} (- \frac{π}{3})$

Add full rotations of $2 π$ until the angle is between $0$ and $2 π$ .

$\sec^{2} (\frac{5 π}{3})$

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

$\sec^{2} (\frac{π}{3})$

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

$2^{2}$

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

$4$

Evaluate sec(-pi/3)^2

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