Solve the Equation (X in Radians And $$\boldsymbol { \theta }$$

question 325

Multiple Choice

Solve the equation (x in radians and $$\boldsymbol { \theta }$$ in degrees) for all exact solutions where appropriate. Round approximate answers
in radians to four decimal places and approximate answers in degrees to the nearest tenth.
- $$\cos ^ { 2 } x + 2 \cos x = - 1$$

• A) \(\{ 2 n \pi \}\)
• B) \(\left\{ \frac { \pi } { 2 } + n \pi , 2 n \pi \right\}\)
• C) \(\{ n \pi \}\)
• D) \(\{ \pi + 2 n \pi \}\)

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Definitions:

Credible Threat

A declaration or action by a party that it will follow through with a particular response if certain conditions are met, believed to be feasible by the other party.

Warranty

A guarantee, typically made by a manufacturer or seller, to repair or replace a product within a specified period if it is found to be faulty.

Dominant Strategy

A strategy that always provides greater utility to a player, regardless of the opponent's strategy.

Nash Equilibria

Nash Equilibria refer to a situation in a game where no player can benefit by changing strategies if other players keep theirs unchanged.