What is cos(arcsin(4w)) ?

The solution to cos(arcsin(4w)) is sqrt(1-16w^2)

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simplify cos(arcsin(4w))

simplify

cos (arcsin (4 w))

1 - 16 w^{2}

Solution steps

cos (arcsin (4 w))

Use the following identity:

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

= 1 - (4 w)^{2}

Simplify

= 1 - 16 w^{2}

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