SOLUTION: Solve 6 sin^3 x - 3 sin^2 x - 3 sin x = 0
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Question 971389
:
Solve
6 sin^3 x - 3 sin^2 x - 3 sin x = 0
Answer by
lwsshak3(11628)
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Solve For:[0, 2π)
6 sin^3 x - 3 sin^2 x - 3 sin x = 0
(3sinx)(2sin^2(x)-sinx-1=0
(3sinx)(2sinx+1)(sinx-1)=0
..
3sinx=0
sinx=0
x=0, π
or
2sinx+1=0
sinx=-1/2
x=5π/6, 11π/6
or
sinx-1=0
sinx=1
x=π/2