Solve the Equation for Solutions in the Interval [0, 2 $$[ 0,2 \pi )$$

question 246

Multiple Choice

Solve the equation for solutions in the interval [0, 2 $$[ 0,2 \pi )$$
- $\csc 3 x = 0$

• A) \(\left\{ \frac { \pi } { 4 } , \frac { 3 \pi } { 4 } , \frac { 5 \pi } { 4 } , \frac { 7 \pi } { 4 } \right\}\)
• B) \(\varnothing\)
• C) \(\left\{ \frac { \pi } { 8 } , \frac { 9 \pi } { 8 } \right\}\)
• D) \(\left\{ 0 , \frac { 2 \pi } { 3 } , \pi , \frac { 4 \pi } { 3 } \right\}\)

---

Definitions:

Sequential Game

A strategic situation where players make decisions one after another, with each player aware of the previous players' actions before choosing their strategy.

Simultaneous Move Games

A scenario in game theory where all players make their decisions or moves at the same time, without knowledge of the others' choices.

Nash Equilibrium

A concept in game theory wherein each player's strategy is optimal given the strategies of other players, resulting in no incentive to deviate unilaterally from their strategy.

Best Response

In game theory, the strategy that yields the highest payoff for a player, given the strategies chosen by other players in the game.