What is cos(arcsin(10x)) ?

The solution to cos(arcsin(10x)) is sqrt(1-100x^2)

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simplify cos(arcsin(10x))

simplify

cos (arcsin (10 x))

1 - 100 x^{2}

Solution steps

cos (arcsin (10 x))

Use the following identity:

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

= 1 - (10 x)^{2}

Simplify

= 1 - 100 x^{2}

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