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

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) (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 ?

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

Your answer which you give is not wrong; it is simply incomplete. AND each have this same sine. Both are in the range specified in the question.
RELATED QUESTIONS
Inverse sin of 1/sqrt root 2 or (sin^-1(1/sqrt root 2). Find sin ^-1 x for the given x.... (answered by josgarithmetic)

Can someone please explain this equation to me? and i also believe that the answer would... (answered by lwsshak3)

Can someone tell me if this is correct. Use definitions or identities to find the exact... (answered by Earlsdon)

Suppose cos(u)= 5/13, and sin(u) is negative. Find sin(u-pi), cos(u-pi), sin(u-pi/2),... (answered by jim_thompson5910)

I'm really struggling with this chapter and the test is tomorrow. Can you please explain... (answered by ewatrrr)

Can someone explain to me how the exact value of Sin^(-1) [Sin(-7pi/6)] is pi/6? I got... (answered by josmiceli)

This is a multiple angles question: sin x/2 = sqrt(2)/2 For the answer, I got pi/2... (answered by Alan3354)

This question is ridiculously confusing to me, any help is greatly appreciated! If it... (answered by Fombitz)

My instructor went over this problem in class yesterday. I am still not fully grasp the... (answered by Alan3354)