Use even and odd properties of the trigonometric functions to find the exact value of the expression.
-$$\sec \left( - \frac { \pi } { 6 } \right)$$
A) $\frac { 2 \sqrt { 3 } } { 3 }$
B) 2
C) $- 2$
D) $- \frac { 2 \sqrt { 3 } } { 3 }$ )

Question

Quizplus · Accepted Answer

$\sec(-x) = \sec(x)$ because secant is an even function. Therefore, $\sec\left(-\frac{\pi}{6}\right) = \sec\left(\frac{\pi}{6}\right)$, and since $\sec\left(\frac{\pi}{6}\right) = \frac{2\sqrt{3}}{3}$, the correct answer is A.

Use Even and Odd Properties of the Trigonometric Functions to Find