SOLUTION: 4sin^-1 x=pi What is the solution set?

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Question 1004470: 4sin^-1 x=pi
What is the solution set?
Answer by ikleyn(52747) About Me  (Show Source):
You can put this solution on YOUR website!
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4sin^-1 x=pi
What is the solution set?
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Do you mean this?
4*arcsin(x) = pi ?

If so,  then

arcsin(x) = pi%2F4     and

x = sin(pi%2F4) = sqrt%282%29%2F2.

It is the unique solution of the equation.

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If you mean this

4*1%2Fsin%28x%29 = pi,

then   1%2Fsin%28x%29 = pi%2F4  and   sin(x) = 4%2Fpi.

It has no solution at all,  because the right side is greater than  1,  and,  as everybody knows,  sine can not be greater than  1.