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

The solution to cos(arcsin(-2x)) is sqrt(1-4x^2)

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simplify cos(arcsin(-2x))

simplify

cos (arcsin (- 2 x))

1 - 4 x^{2}

Solution steps

cos (arcsin (- 2 x))

Use the following identity:

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

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

Simplify

= 1 - 4 x^{2}

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