Graph the expression on each side of the equals symbol to determine whether the equation might be an identity.
-$$\cot x \cos x + \sin x = \csc x$$
A) Identity
B) Not an Identity

Question

Quizplus · Accepted Answer

The equation $\cot x \cos x + \sin x = \csc x$ simplifies to an identity. $\cot x = \frac{\cos x}{\sin x}$, so $\cot x \cos x = \frac{\cos^2 x}{\sin x}$. Adding $\sin x$ to both sides gives $\frac{\cos^2 x + \sin^2 x}{\sin x} = \frac{1}{\sin x}$, which simplifies to $\csc x$, confirming the equation is an identity.

Graph the Expression on Each Side of the Equals Symbol cot⁡xcos⁡x+sin⁡x=csc⁡x\cot x \cos x + \sin x = \csc xcotxcosx+sinx=cscx

Graph the Expression on Each Side of the Equals Symbol $\cot x \cos x + \sin x = \csc x$