SOLUTION: If x > 0, (arcsin(x/2)+arccos(x/2))/(arctan(x)) = 3/2, solve for x

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Question 1153161: If x > 0, (arcsin(x/2)+arccos(x/2))/(arctan(x)) = 3/2, solve for x
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

%28sin%5E-1%28x%2F2%29%2Bcos%5E-1%28x%2F2%29%29%2F%28tan%5E-1%28x%29%29+=3%2F2.............sin%5E-1%28x%2F2%29%2Bcos%5E-1%28x%2F2%29=pi%2F2
%28pi%2F2%29%2F%28tan%5E-1%28x%29%29+=+3%2F2
pi%2Fcross%282%29%28tan%5E-1%28x%29%29+=+3%2Fcross%282%29
pi%2F%28tan%5E-1%28x%29%29+=+3
pi=3tan%5E-1%28x%29
tan%5E-1%28x%29=pi%2F3............if tan%5E-1%28x%29=a then x=tan%28a%29
x=tan%28pi%2F3%29
x+=+sqrt%283%29