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

Question

Quizplus · Accepted Answer

The given expression simplifies to $\sec \theta \csc \theta$ by converting the fractions to $\tan \theta + \cot \theta$ and recognizing these as the reciprocals of $\cos \theta$ and $\sin \theta$, respectively.

Perform the Indicated Operations and Simplify the Result So There sin⁡θcos⁡θ+cos⁡θsin⁡θ\frac { \sin \theta } { \cos \theta } + \frac { \cos \theta } { \sin \theta }cosθsinθ​+sinθcosθ​

Perform the Indicated Operations and Simplify the Result So There $\frac { \sin \theta } { \cos \theta } + \frac { \cos \theta } { \sin \theta }$