Write in terms of the cofunction of a complementary angle.
Find the exact value of the expression using the provided information.
-$$\frac { \tan \theta } { \sec \theta }$$
A) $\cos ^ { 3 } \theta$
B) $\sin \theta$
C) $\sec ^ { 2 } \theta$
D) $\tan ^ { 2 } \theta$

Question

Quizplus · Accepted Answer

The expression $\frac{\tan\theta}{\sec\theta}$ simplifies to $\frac{\sin\theta}{\cos\theta} \cdot \frac{1}{\frac{1}{\cos\theta}} = \sin\theta$, using the identities $\tan\theta = \frac{\sin\theta}{\cos\theta}$ and $\sec\theta = \frac{1}{\cos\theta}$.

Write in Terms of the Cofunction of a Complementary Angle tan⁡θsec⁡θ\frac { \tan \theta } { \sec \theta }secθtanθ​

Write in Terms of the Cofunction of a Complementary Angle $\frac { \tan \theta } { \sec \theta }$