Choose the one alternative that best completes the statement or answers the question.
Complete the identity.
-$$\csc ^ { 2 } \frac { \theta } { 2 } = ?$$
A) $\frac { 2 } { 1 - \cos \theta }$
B) $\frac { 1 - \sec \theta } { 2 }$
C) $\frac { 2 } { 1 + \sin \theta }$
D) $\frac { 1 + \sec \theta } { 2 }$

Question

Quizplus · Accepted Answer

The correct identity is $\csc ^ { 2 } \frac { \theta } { 2 } = \frac { 2 } { 1 - \cos \theta }$, which is derived from the half-angle identity for cosine.

Choose the One Alternative That Best Completes the Statement or Answers