Evaluate, if possible, the given trigonometric function at the indicated value.
$\sec t , t = \frac { 5 \pi } { 6 }$
A) $- \frac { 2 \sqrt { 3 } } { 3 }$
B) 2
C) $- 2$
D) $- \frac { \sqrt { 3 } } { 2 }$
E) not possible

Question

Quizplus · Accepted Answer

$\sec t = \frac{1}{\cos t}$. For $t = \frac{5\pi}{6}$, $\cos t = -\frac{\sqrt{3}}{2}$, so $\sec t = -\frac{2\sqrt{3}}{3}$.

Evaluate, If Possible, the Given Trigonometric Function at the Indicated sec⁡t,t=5π6\sec t , t = \frac { 5 \pi } { 6 }sect,t=65π​

Evaluate, If Possible, the Given Trigonometric Function at the Indicated $\sec t , t = \frac { 5 \pi } { 6 }$