Use the fundamental identities to find the value of the trigonometric function.
-$$\frac { \sin \theta + 1 } { \cos \theta + \cot \theta } = \tan \theta$$
A) Identity
B) Not an Identity

Question

Quizplus · Accepted Answer

Using the identity $\cot \theta = \frac{\cos \theta}{\sin \theta}$, we can rewrite the left-hand side as:$$\frac{\sin \theta + 1}{\cos \theta + \frac{\cos \theta}{\sin \theta}} = \frac{\sin \theta + 1}{\frac{\sin \theta + \cos \theta}{\sin \theta}} = \frac{\sin \theta}{\cos \theta} = \tan \theta$$Therefore, the equation is an identity.

Use the Fundamental Identities to Find the Value of the Trigonometric