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

Question

Quizplus · Accepted Answer

The expression simplifies to 1 because $\sec \theta = \frac{1}{\cos \theta}$ and $\csc \theta = \frac{1}{\sin \theta}$, so multiplying $\sin \theta \cos \theta$ by their reciprocals $\sec \theta \csc \theta$ cancels out the denominators, leaving 1.

Use Basic Identities to Simplify the Expression sin⁡θcos⁡θsec⁡θcsc⁡θ\sin \theta \cos \theta \sec \theta \csc \thetasinθcosθsecθcscθ

Use Basic Identities to Simplify the Expression $\sin \theta \cos \theta \sec \theta \csc \theta$