Use the appropriate reciprocal identity to find the function value. Rationalize the denominator if necessary.
-$\csc \theta$, if $\sin \theta = \frac { 1 } { 9 }$
A) $- 9$
B) $\frac { 1 } { 9 }$
C) 9
D) $- \frac { 1 } { 9 }$

Question

Quizplus · Accepted Answer

The cosecant function ($\csc$) is the reciprocal of the sine function ($\sin$). Therefore, if $\sin \theta = \frac{1}{9}$, then $\csc \theta = \frac{1}{\sin \theta} = \frac{1}{\frac{1}{9}} = 9$.

Use the Appropriate Reciprocal Identity to Find the Function Value csc⁡θ\csc \thetacscθ

Use the Appropriate Reciprocal Identity to Find the Function Value $\csc \theta$