Prove the Identity $$\sin ^ { 3 } x \cos ^ { 2 } x = \sin x \left( \cos ^ { 2 } x - \cos ^ { 4 } x \right)$$

question 223

Essay

Prove the identity.
- $$\sin ^ { 3 } x \cos ^ { 2 } x = \sin x \left( \cos ^ { 2 } x - \cos ^ { 4 } x \right)$$

Understand the concept of context-dependent memory and how environmental cues enhance memory recall.

Explore the impact of emotional states on memory retention and recall, emphasizing mood-congruent memories.

Grasp the mechanism and effects of priming on memory and behavior.

Discuss the serial position effect and its implications for memory recall.

---

Definitions:

Heredity

The genetic inheritance of physical or mental attributes from parents to their offspring across generations.

Genetic Factors

components of an individual's DNA that contribute to their physical traits, behaviors, and susceptibilities.

Buss and Plomin

Researchers known for their work in the field of temperament, proposing that temperament is influenced by genetics and plays a role in personality development.

Vicarious Reinforcement

A learning process that occurs through observing someone else being rewarded for a behavior, which increases the likelihood of the observer repeating the behavior.