Express the Product as a Sum Containing Only Sines or Cosines

question 129

Multiple Choice

Express the product as a sum containing only sines or cosines.
- $\sin ( 4 \theta ) \sin ( 6 \theta )$

• A) \(\sin ^ { 2 } \left( 24 \theta ^ { 2 } \right)\)
• B) \(\frac { 1 } { 2 } [ - \cos ( 2 \theta ) - \cos ( 10 \theta ) ]\)
• C) \(\frac { 1 } { 2 } [ \cos ( 2 \theta ) - \cos ( 10 \theta ) ]\)
• D) \(\frac { 1 } { 2 } [ \cos ( 10 \theta ) - \sin ( 2 \theta ) ]\)

Understand the significance of mutations in evolution and their variable effects depending on environmental contexts.

Comprehend the relationship and differences between genotype and phenotype frequencies.

Grasp the principles of the Hardy-Weinberg equilibrium and the conditions under which it applies.

Analyze factors affecting allele frequencies and understand the concept of genetic equilibrium.

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Definitions:

Diversity

The range of different species, genetic variations, and ecosystems found within and across environments.

Rain Forest Organisms

Diverse species of plants, animals, and microbes that inhabit the wet, dense forests found near the Earth's equator, known for their biodiversity.

Fossilized Remains

Preserved remnants or impressions of organisms from the past, embedded in rocks and sediments, essential for understanding Earth's biologic history.

Immediate Ancestors

The direct predecessors in a lineage, often referred to in the context of evolution or family genealogy.