Perform the indicated operations and simplify the result so there are no quotients.
-$$\frac { \csc \theta \cot \theta } { \sec \theta }$$
A) $\cot ^ { 2 } \theta$
B) $\csc ^ { 2 } \theta$
C) 1
D) $\sec ^ { 2 } \theta$

Question

Quizplus · Accepted Answer

The expression simplifies to $\frac{\csc \theta \cot \theta}{\sec \theta} = \frac{\frac{1}{\sin \theta} \cdot \frac{\cos \theta}{\sin \theta}}{\frac{1}{\cos \theta}} = \frac{\cos \theta}{\sin^2 \theta} \cdot \cos \theta = \frac{\cos^2 \theta}{\sin^2 \theta} = \cot^2 \theta$.

Perform the Indicated Operations and Simplify the Result So There csc⁡θcot⁡θsec⁡θ\frac { \csc \theta \cot \theta } { \sec \theta }secθcscθcotθ​

Perform the Indicated Operations and Simplify the Result So There $\frac { \csc \theta \cot \theta } { \sec \theta }$