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

Question

Quizplus · Accepted Answer

The expression simplifies to $- 2 \tan ^ { 2 } \theta$ using algebraic manipulation and trigonometric identities.

Use a Sum or Difference Identity to Find the Exact sin⁡θ1+sin⁡θ−sin⁡θ1−sin⁡θ\frac { \sin \theta } { 1 + \sin \theta } - \frac { \sin \theta } { 1 - \sin \theta }1+sinθsinθ​−1−sinθsinθ​

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