Determine if the following is an identity.
-$\sin \theta \sec \theta = \cos \theta \csc \theta$
A) Not an identity
B) Identity

Question

Quizplus · Accepted Answer

To determine if the equation is an identity, simplify both sides. The left side simplifies to $\sin \theta \cdot \frac{1}{\cos \theta} = \tan \theta$, and the right side simplifies to $\cos \theta \cdot \frac{1}{\sin \theta} = \cot \theta$. Since $\tan \theta \neq \cot \theta$, the equation is not an identity.

Determine If the Following Is an Identity sin⁡θsec⁡θ=cos⁡θcsc⁡θ\sin \theta \sec \theta = \cos \theta \csc \thetasinθsecθ=cosθcscθ

Determine If the Following Is an Identity $\sin \theta \sec \theta = \cos \theta \csc \theta$