Use the fundamental identities to simplify the expression.
-$\frac { \tan \theta } { \sec \theta }$
A) $\sin \theta$
B) $\cos ^ { 3 } \theta$
C) $\sec ^ { 2 } \theta$
D) $\tan ^ { 2 } \theta$

Question

Quizplus · Accepted Answer

The expression $\frac { \tan \theta } { \sec \theta }$ simplifies to $\sin \theta$ because $\tan \theta = \frac{\sin \theta}{\cos \theta}$ and $\sec \theta = \frac{1}{\cos \theta}$, so when you divide $\tan \theta$ by $\sec \theta$, the $\cos \theta$ in the denominator of $\tan \theta$ cancels out with the $\cos \theta$ in the numerator of $\sec \theta$, leaving $\sin \theta$.

Use the Fundamental Identities to Simplify the Expression tan⁡θsec⁡θ\frac { \tan \theta } { \sec \theta }secθtanθ​

Use the Fundamental Identities to Simplify the Expression $\frac { \tan \theta } { \sec \theta }$