What is cos(arcsin(y/5)) ?

The solution to cos(arcsin(y/5)) is (sqrt(25-y^2))/5

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simplify cos(arcsin(y/5))

simplify

cos (arcsin (\frac{y}{5}))

\frac{25 - y ^{2}}{5}

Solution steps

cos (arcsin (\frac{y}{5}))

Use the following identity:

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

= 1 - (\frac{y}{5})^{2}

Simplify

= \frac{25 - y ^{2}}{5}

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