Use the fundamental identities to simplify the expression.
-$\cot \theta \sec \theta \sin \theta$
A) $\tan ^ { 2 } \theta$
B) $\csc ^ { 2 } \theta$
C) 1
D) $\sec ^ { 2 } \theta$

Question

Quizplus · Accepted Answer

The expression $\cot \theta \sec \theta \sin \theta$ simplifies to $1$ because $\cot \theta = \frac{1}{\tan \theta}$, $\sec \theta = \frac{1}{\cos \theta}$, and $\sin \theta = \frac{\tan \theta}{\sec \theta}$. When you multiply $\cot \theta$ by $\sec \theta$ and then by $\sin \theta$, the $\tan \theta$ and $\sec \theta$ cancel out, leaving you with $1$.

Use the Fundamental Identities to Simplify the Expression cot⁡θsec⁡θsin⁡θ\cot \theta \sec \theta \sin \thetacotθsecθsinθ

Use the Fundamental Identities to Simplify the Expression $\cot \theta \sec \theta \sin \theta$