|Dec10-11, 10:31 PM||#1|
arcsin x + arcsin 2x = pi/2
1. The problem statement, all variables and given/known data
sin -1x + sin -12x = ∏/2
2. Relevant equations
3. The attempt at a solution
My question is, is it possible for x to be a negative value? Since ∏/2 is positive. Or I should think that x can be negative because -(3∏)/2 = ∏/2?
Please enlighten me...
|Dec10-11, 11:08 PM||#2|
sin-1(x) has the same sign as x , so the answer to your question is "No, that's not possible."
|Dec11-11, 12:21 AM||#3|
-3pi/2 is not equal to pi/2, but the angle -3pi/2 is equivalent to the angle pi/2.
The range of the inverse sine function is [-pi/2,pi/2]. -3pi/2 is outside of the range.
Hints to solve the problem:
What is cos(sin-1(x))?
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