SOLUTION: Solve each equation. Express each solution in degrees and in radians. 2cos squared x+3sinx=0 0less than or equal to x less than or equal to 2pi

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Question 633779: Solve each equation. Express each solution in degrees and in radians.
2cos squared x+3sinx=0 0less than or equal to x less than or equal to 2pi
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!




Use



To write:



Let , substitute, and arrange the quadratic into standard form:





Solve the factorable quadratic:



So or

Substitute back, i.e. . But discard because 2 is not in the domain of the sine function.

Hence:



Refer to the unit circle, recalling that the sine values are the coordinates of the intersection of the terminal ray with the unit circle.



John

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