What is cos(arcsin(sqrt(2x))) ?

The solution to cos(arcsin(sqrt(2x))) is sqrt(1-2x)

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simplify cos(arcsin(sqrt(2x)))

simplify

cos (arcsin (2 x))

1 - 2 x

Solution steps

cos (arcsin (2 x))

Use the following identity:

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

= 1 - (2 x)^{2}

(2 x)^{2} = 2 x

= 1 - 2 x

36 - (6 (sin (θ)))^{2}

tan (- π + x)

cos (arctan (3 w))

sin (- 1 (2 x - 1))

cos (π - θ) - cos (θ)

What is cos(arcsin(sqrt(2x))) ?
The solution to cos(arcsin(sqrt(2x))) is sqrt(1-2x)