What are the solutions to the equation Sine (x + StartFraction 7 pi Over 2 EndFraction) = negative StartFraction StartRoot 3 EndRoot Over 2 EndFraction over the interval [0, 2Pi]?

Given:

The equation is

To find:

The solutions of given equation over the interval .

Solution:

We have,

The equation is

If , then .

Over the interval .

and

and

and

and

Therefore, the two solutions are tex]x=\dfrac{\pi}{6}[/tex] and .

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step-by-step explanation:

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