Perform the indicated operations and simplify the result so there are no quotients.
-$$\frac { \sec \theta \sin \theta } { \tan \theta } - 1$$
A) 0
B) $- \sec ^ { 2 } \theta$
C) 1
D) $1 - \sin \theta$

Question

Quizplus · Accepted Answer

The expression simplifies to 0 because $\frac{\sec \theta \sin \theta}{\tan \theta} = \frac{1}{\cos \theta} \cdot \sin \theta \cdot \frac{\cos \theta}{\sin \theta} = 1$, so the expression becomes $1 - 1 = 0$.

Perform the Indicated Operations and Simplify the Result So There sec⁡θsin⁡θtan⁡θ−1\frac { \sec \theta \sin \theta } { \tan \theta } - 1tanθsecθsinθ​−1

Perform the Indicated Operations and Simplify the Result So There $\frac { \sec \theta \sin \theta } { \tan \theta } - 1$