SOLUTION: 2cos^2x-3sinx-3=0

Question 1042969: 2cos^2x-3sinx-3=0
Answer by ikleyn(52880) (Show Source): You can put this solution on YOUR website!
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2cos^2x-3sinx-3=0
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

 = .

Substitute   =   to get the equation uniform for sin(x). You will get

 = ,  --->

 = ,

 = .

Factor left side

(2sin(x)+1)*(sin(x)+1) = 0.

Then the equation deploys in two separate/independent equations:

1)  2sin(x) + 1 = 0  --->  sin(x) =   --->  x =   and/or  x = .

2)  sin(x) = -1  --->  x = .

Answer.  x =   and/or  x =   and/or  x = .

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