Graph the expression on each side of the equals symbol to determine whether the equation might be an identity.
-$$( \cos \theta + \cot \theta ) ( 1 - \csc \theta ) = \cot ^ { 2 } \theta$$
A) Identity
B) Not an Identity

Question

Quizplus · Accepted Answer

The equation is not an identity because the left side and right side do not simplify to the same expression for all values of $\theta$. For example, substituting specific values of $\theta$ such as $\theta = \frac{\pi}{4}$ shows that the two sides are not equal.

Graph the Expression on Each Side of the Equals Symbol (cos⁡θ+cot⁡θ)(1−csc⁡θ)=cot⁡2θ( \cos \theta + \cot \theta ) ( 1 - \csc \theta ) = \cot ^ { 2 } \theta(cosθ+cotθ)(1−cscθ)=cot2θ

Graph the Expression on Each Side of the Equals Symbol $( \cos \theta + \cot \theta ) ( 1 - \csc \theta ) = \cot ^ { 2 } \theta$