Complete the Identity $$\csc ^ { 2 } \frac { \theta } { 2 } - \sec ^ { 2 } \frac { \theta } { 2 } = ?$$

question 387

Multiple Choice

Complete the identity.
- $$\csc ^ { 2 } \frac { \theta } { 2 } - \sec ^ { 2 } \frac { \theta } { 2 } = ?$$

• A) \(2 \sin ^ { 2 } \theta \sec \theta\)
• B) \(\frac { 2 } { 1 - \sec \theta }\)
• C) 0
• D) \(4 \cot \theta \csc \theta\)

---

Definitions:

Liking

The feeling of being attracted or having a positive sentiment towards something or someone.

Transference

A psychological phenomenon in which an individual redirects emotions and feelings from one person to another, often occurring in therapeutic settings.

Resembles

To be like or similar to something or someone in appearance, qualities, or characteristics.

Already Like

A concept reflecting a pre-existing positive attitude towards an object, idea, or person that may influence future perceptions and behaviors.