SOLUTION: sin^3 x = sin(x) On a [0,360)

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Question 1169009: sin^3 x = sin(x)
On a [0,360)

Answer by ikleyn(52814) About Me  (Show Source):
You can put this solution on YOUR website!
.

sin^3(x) = sin(x)


sin^3(x) - sin(x) = 0


sin(x)*(sin^2(x)-1) = 0


sin(x)*(sin(x)-1)*(sin(x)+1) = 0


ANSWER.  In the given interval, the solutions are  x= 0 degrees;  90 degrees;  180 degrees  and 270 degrees.

Solved.