What is cos(arcsin(sqrt(x))) ?

The solution to cos(arcsin(sqrt(x))) is sqrt(1-x)

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simplify cos(arcsin(sqrt(x)))

simplify

cos (arcsin (x))

1 - x

Solution steps

cos (arcsin (x))

Use the following identity:

cos (arcsin (x)) = 1 - x^{2}

= 1 - (x)^{2}

(x)^{2} = x

= 1 - x

\frac{1}{1 - cos ^{2} ( x )}

sin ((\frac{π}{2}) - x)

sin (\frac{π}{3} + 2 x)

tan (t - π)

csc (18 0^{\circ} + x)

What is cos(arcsin(sqrt(x))) ?
The solution to cos(arcsin(sqrt(x))) is sqrt(1-x)