SOLUTION: Express the follolwing in terms of x {x>0} sin{cos^-1{x/2}}

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Question 64560: Express the follolwing in terms of x {x>0}
sin{cos^-1{x/2}}
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
sin{cos^-1{x/2}}
Draw a right triangle in the 1st quadrant.
The hypotenuse is the radius is 2
The side adjacent to the reference angle is "x"
Therefore the side opposite the reference angle is sqrt(4-x^2)
Therefore the sin of the reference angle is [sqrt(4-x^2)]/2
Cheers,
Stan H.