Question 795495: It a general solution: 3cos squard x-1=5sinx
Answer by Cromlix(4381)   (Show Source):
You can put this solution on YOUR website! 3cos^2x - 1 = 5sinx
Convert cos^2x = 1 - sin^2x
3(1 - sin^2x) - 1 = 5sinx
3 - 3sin^2x - 1 = 5cosx
2 - 5sinx - 3sin^2x = 0
(2 + sinx)(1 - 3sinx) = 0
2 + sinx = 0
sinx = -2 (no answer)
1 - 3sinx = 0
sinx = 1/3
x = 19.5 degrees,160.5 degrees
x = 0.34 radians, 2.8 radians.
Hope this helps.
:-)
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