SOLUTION: Approximate the solutions (to three decimal places) of the given equation in the interval {{{-pi/2}}} {{{pi/2}}} Then I am given the equation {{{6 sin^3=18^2x=5sinx+15}}} I t

Question 854542: Approximate the solutions (to three decimal places) of the given equation in the interval
Then I am given the equation
I tried to pull a common factor out by taking the above equation and making it in to the form

but I was not sure if you were suppose to factor anything out of if I'm on the right track because I seem to not be getting the right answer.
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Your original equation makes little sense. The expression

is meaningless, and there are two equal signs. I presume your original equation is

, given the way you factored it (which should be

).

Note that you can divide both sides by

, since

for real x, obtaining

http://www.wolframalpha.com/input/?i=6+sin%5E3+x+-+18+sin%5E2+x+%2B+5+sin+x+%2B+15+%3D+0 lists the real solutions to the original equation (including non-real roots).
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