Use Identities to find the exact value.
-$$( \cos \theta + \cot \theta ) ( 1 - \csc \theta ) = \cot ^ { 2 } \theta$$
A) Identity
B) Not an Identity

Question

Quizplus · Accepted Answer

The given equation is not an identity because it does not hold true for all values of $\theta$. An identity in trigonometry is an equation that is true for all values within the domain of the variables involved. To verify whether the given equation is an identity, one could attempt to simplify the left-hand side to see if it equals the right-hand side for all values of $\theta$. However, without specific values of $\theta$, and knowing that trigonometric identities are universally true, we can conclude that this specific equation does not simplify to an identity that holds for all $\theta$.

Use Identities to Find the Exact Value (cos⁡θ+cot⁡θ)(1−csc⁡θ)=cot⁡2θ( \cos \theta + \cot \theta ) ( 1 - \csc \theta ) = \cot ^ { 2 } \theta(cosθ+cotθ)(1−cscθ)=cot2θ

Use Identities to Find the Exact Value $( \cos \theta + \cot \theta ) ( 1 - \csc \theta ) = \cot ^ { 2 } \theta$