Use the value of the trigonometric function to find $\sec ( - t )$ . $\cos ( - t ) = - \frac { 1 } { 6 }$
A) $\sec ( - t ) = \infty$
B) $\sec ( - t ) = - \frac { 1 } { 6 }$
C) $\sec ( - t ) = - 6$
D) $\sec ( - t ) = \frac { 1 } { 6 }$
E) $\sec ( - t ) = 6$

Question

Use the value of the trigonometric function to find $\sec ( - t )$ .​ $\cos ( - t ) = - \frac { 1 } { 6 }$ ​
A) $\sec ( - t ) = \infty$
B) $\sec ( - t ) = - \frac { 1 } { 6 }$
C) $\sec ( - t ) = - 6$
D) $\sec ( - t ) = \frac { 1 } { 6 }$
E) $\sec ( - t ) = 6$

Quizplus · Accepted Answer

The secant function is the reciprocal of the cosine function, so $\sec(-t) = \frac{1}{\cos(-t)}$. Given $\cos(-t) = -\frac{1}{6}$, $\sec(-t) = -6$.

Use the Value of the Trigonometric Function to Find sec⁡(−t)\sec ( - t )sec(−t)

Use the Value of the Trigonometric Function to Find $\sec ( - t )$