SOLUTION: Solve for all values of x if x is measured in degrees. 2cos^2x=3sinx 2(1-sin^2x)=3sinx 2-2sin^2x=3sinx 2sin^2x+3sinx-2=0 (2sinx-1)(sinx+2)=0 sinx=1/2 or sinx=-2 Sinx cannot

Question 39356: Solve for all values of x if x is measured in degrees.
2cos^2x=3sinx
2(1-sin^2x)=3sinx
2-2sin^2x=3sinx
2sin^2x+3sinx-2=0
(2sinx-1)(sinx+2)=0
sinx=1/2 or sinx=-2
Sinx cannot equal -2
so, sinx=1/2
x=[30 +-n(360)]degrees and x=[(150)+-n(360)degrees]
These are all the solutions.
Cheers,
Stan H.
Thanks for your help!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
2cos^2x=3sinx
2(1-sin^2x)=3sinx
2-2sin^2x=3sinx
2sin^2x+3sinx-2=0
(2sinx-1)(sinx+2)=0
sinx=1/2 or sinx=-2
Sinx cannot equal -2
so, sinx=1/2
x=[30 +-n(360)]degrees and x=[(150)+-n(360)degrees]
These are all the solutions.
Cheers,
Stan H.

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