Determine the solution(s) for the following where 0 pi leq alpha leq 2 pi : cos (x)=-frac{sqrt{3}}{2}

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Step:1 ：Determine the solution(s) for the following where 0 pi leq alpha leq 2 pi : cos (x)=-frac{sqrt{3}}{2}Step:2 ：The cosine function is negative in the second and third quadrants. The reference angle associated with cos(x) = -frac{sqrt{3}}{2} is frac{pi}{6} (or 30 degrees).Step:3 ：Therefore, the solutions to the equation are frac{2pi}{3} and frac{4pi}{3}.Step:4 ：Final Answer: The solutions to the equation cos (x)=-frac{sqrt{3}}{2} are boxed{frac{2pi}{3}} and boxed{frac{4pi}{3}}.

Answer

Step: 1 ：Determine the solution(s) for the following where 0 pi leq alpha leq 2 pi : cos (x)=-frac{sqrt{3}}{2}Step: 2 ：The cosine function is negative in the second and third quadrants. The reference angle associated with cos(x) = -frac{sqrt{3}}{2} is frac{pi}{6} (or 30 degrees).Step: 3 ：Therefore, the solutions to the equation are frac{2pi}{3} and frac{4pi}{3}.Step: 4 ：Final Answer: The solutions to the equation cos (x)=-frac{sqrt{3}}{2} are boxed{frac{2pi}{3}} and boxed{frac{4pi}{3}}.

Determine the solution(s) for the following where $0 π \leq α \leq 2 π$ : $\cos (x) = - \frac{\sqrt{3}}{2}$

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Popular Problems

Determine the solution(s) for the following where 0π≤α≤2π : cos⁡(x)=−32

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Popular Problems

Determine the solution(s) for the following where $0 π \leq α \leq 2 π$ : $\cos (x) = - \frac{\sqrt{3}}{2}$