Write the Expression in Terms of Sine and Cosine, and Simplify

question 187

Multiple Choice

Write the expression in terms of sine and cosine, and simplify so that no quotients appear in the final expression.
- $\csc x ( \sin x + \cos x )$

• A) \(1 + \cot x\)
• B) \(\sec x \csc x\)
• C) \(\sin x \tan x\)
• D) \(- 2 \tan ^ { 2 } x\)

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Definitions:

Prisoner's Dilemma

A situation in game theory where two individuals acting in their own self-interest do not produce the optimal outcome, showing the conflict between personal and collective rationality.

Nash Equilibrium

An idea in game theory stating that no participant can gain an advantage by altering their strategy if all other participants maintain their current strategies.

Cooperating

The act of working together towards a common goal or purpose, often implying mutual assistance and collaboration.

Nash Equilibrium

A concept in game theory where no participant can gain by a unilateral change of strategy if the strategies of the others remain unchanged.