SOLUTION: Please if someone could kindly help me with this question. Thank you. Solve for all possible x in (o, 360 degrees): 2 sin x = 2 cos 2x

Algebra ->  Trigonometry-basics -> SOLUTION: Please if someone could kindly help me with this question. Thank you. Solve for all possible x in (o, 360 degrees): 2 sin x = 2 cos 2x       Log On


   

Question 623700: Please if someone could kindly help me with this question. Thank you.
Solve for all possible x in (o, 360 degrees): 2 sin x = 2 cos 2x

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!






Use



To write:





Use the Pythagorean Identity



to write:





Let



Solve the quadratic. It factors, but clumsily; the quadratic equation will be faster.

Substitute back: , giving you 2 values for . Find the three angles in the given interval on the unit cirle that satisfy your two values for

Hint: is the -coordinate.



John

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