Use the appropriate reciprocal identity to find the function value. Rationalize the denominator if necessary.
-$\cos \theta$, if $\sec \theta = - 9.5$
A) $\frac { 2 } { 19 }$
B) $- \frac { 19 } { 2 }$
C) $\frac { 17 } { 19 }$
D) $- \frac { 2 } { 19 }$

Question

Quizplus · Accepted Answer

The reciprocal identity for cosine and secant is $\cos \theta = \frac{1}{\sec \theta}$. Given $\sec \theta = -9.5$, $\cos \theta = \frac{1}{-9.5} = -\frac{1}{9.5} = -\frac{2}{19}$.

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