SOLUTION: Can someone please explain to me why pi/4 is not the correct answer for this question? Sin^-1(1/sqrt root 2) Find Sin^-1x for the given x. Express your answer as a rational mul

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Question 756739: Can someone please explain to me why pi/4 is not the correct answer for this question?
Sin^-1(1/sqrt root 2)
Find Sin^-1x for the given x. Express your answer as a rational multiple of pi, ranging from pi/2 to 3pi/2.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
The reference angle is a commonly known angle. What is the angle which has a sine of 1%2Fsqrt%282%29?

What you are trying to say as Sin^-1(1/sqrt root 2) is the same as arcsin(1/sqrt(2)).

%281%2Fsqrt%282%29%29%2A%28sqrt%282%29%2Fsqrt%282%29%29=sqrt%282%29%2F2

Your answer which you give is not wrong; it is simply incomplete. %283%2Api%29%2F4 AND pi%2F4 each have this same sine. Both are in the range specified in the question.