Complete the Identity $\sin \theta \cos ^ { 3 } \theta + \sin ^ { 3 } \theta \cos \theta = ?$

question 395

Multiple Choice

Complete the identity.
- $\sin \theta \cos ^ { 3 } \theta + \sin ^ { 3 } \theta \cos \theta = ?$

• A) \(\frac { 1 } { 2 } \sin ( 2 \theta ) \cos ( 2 \theta )\)
• B) \(\frac { 1 } { 2 } \sin ( 2 \theta )\)
• C) \(\frac { 1 } { 4 } \sin ^ { 2 } ( 2 \theta )\)
• D) \(\frac { 1 } { 6 } \sin ( 3 \theta ) \sin ( 2 \theta )\)

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Definitions:

Sedimentary Sequences

Layers of sedimentary rocks that record the geological history of an area, often showing a progression of depositional environments.

Groundwater

Water that is found in the pores and fractures in rock and soil beneath the Earth's surface, which can supply wells and springs.

Porphyry Copper Deposits

Large, low-grade mineral deposits containing dispersed copper-bearing minerals in a porphyritic host rock, often associated with intrusive igneous rocks.

Porphyritic Texture

A texture in igneous rock consisting of large crystal grains known as phenocrysts embedded in a fine-grained groundmass.