Complete the Identity $$\frac { \sin ^ { 2 } \frac { \theta } { 2 } } { \sin ^ { 2 } \theta } = ?$$

question 399

Multiple Choice

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

• A) \(\frac { 1 } { 2 - 2 \cos \theta }\)
• B) \(\frac { 1 } { 2 + 2 \cos \theta }\)
• C) \(\cos ^ { 2 } \frac { \theta } { 2 }\)
• D) \(\sin ^ { 2 } \frac { \theta } { 2 }\)

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Definitions:

Continental Crust

The layer of igneous, sedimentary, and metamorphic rocks which form the continents and the shallow seas close to them, distinguished by its lower density compared to oceanic crust.

Decompression Melting

The process by which melt is generated within the Earth when a body of rock is held at approximately the same temperature but the pressure is reduced.

Mantle-Derived Magmas

Magmas that originate from melting processes within the Earth's mantle, often associated with tectonic activity and volcanic eruptions.

Continental Crust

The thick, buoyant part of Earth's crust that forms the continents, characterized by a diverse composition of rock types.