math! what is SQUAREROOT(1-SQRT(1-sin^2x)) * SQRT(1-SIN^2X)?

Question

i am working on a math problem, and don't know how to multiply these parts. please help! thanks!

Answer 1

Get rid of some junk:

1 - sin^2(x) = cos^2(x)
Then, SQRT(1-Sin^2(x)) = SQRT(Cos^2(x)) = Cos(x)

(Some people insist on slapping a "+ or -" in front of that. Because we are still inside a much bigger square root, I'll wait.)

By applying this trick twice, you can reduce your equation to:
SQUAREROOT(1-SQRT(1-sin^2x)) * SQRT(1-SIN^2X)
SQUAREROOT(1-Cos(x) * Cos(x))
SQUAREROOT(1-Cos^2(x))
SQUAREROOT(Sin^2(x))
Sin(x)
if you prefer: +/- Sin(x)