Perform the transformation.
-$\sin \theta \cos \theta \sec \theta \csc \theta$
A) 1
B) $\sec ^ { 2 } \theta$
C) $\tan ^ { 2 } \theta$
D) $\csc ^ { 2 } \theta$

Question

Quizplus · Accepted Answer

The expression simplifies to 1 because $\sin \theta \cos \theta \sec \theta \csc \theta = \sin \theta \cos \theta \frac{1}{\cos \theta} \frac{1}{\sin \theta} = 1$, as $\sec \theta$ and $\csc \theta$ are the reciprocals of $\cos \theta$ and $\sin \theta$, respectively.

Perform the Transformation sin⁡θcos⁡θsec⁡θcsc⁡θ\sin \theta \cos \theta \sec \theta \csc \thetasinθcosθsecθcscθ

Perform the Transformation $\sin \theta \cos \theta \sec \theta \csc \theta$