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

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

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simplify cos(arcsin(5/x))

simplify

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

\frac{x ^{2} - 25}{x}

Solution steps

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

Use the following identity:

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

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

Simplify

= \frac{x ^{2} - 25}{x}

1 - sin^{2} (θ)

sin (18 0^{\circ} - θ)

a^{2} - (a sin (x))^{2}

cos (arcsin (\frac{9}{x}))

tan (π - θ)