Use a sum or difference identity to find the exact value.
-$$\frac { \sec \theta \sin \theta } { \tan \theta } - 1$$
A) 0
B) $- \sec ^ { 2 } \theta$
C) 1
D) $1 - \sin \theta$

Question

Quizplus · Accepted Answer

The given expression simplifies using trigonometric identities. $\frac { \sec \theta \sin \theta } { \tan \theta } - 1$ simplifies to $\frac { 1 } { \cos \theta } \cdot \frac { \sin \theta } { \sin \theta / \cos \theta } - 1$, which further simplifies to $\frac { 1 } { \cos \theta } \cdot \cos \theta - 1 = 1 - 1 = 0$.

Use a Sum or Difference Identity to Find the Exact sec⁡θsin⁡θtan⁡θ−1\frac { \sec \theta \sin \theta } { \tan \theta } - 1tanθsecθsinθ​−1

Use a Sum or Difference Identity to Find the Exact $\frac { \sec \theta \sin \theta } { \tan \theta } - 1$