What is cos(arcsin(6/x)) ?

The solution to cos(arcsin(6/x)) is (sqrt(x^2-36))/x

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simplify cos(arcsin(6/x))

simplify

cos (arcsin (\frac{6}{x}))

\frac{x ^{2} - 36}{x}

Solution steps

cos (arcsin (\frac{6}{x}))

Use the following identity:

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

= 1 - (\frac{6}{x})^{2}

Simplify

= \frac{x ^{2} - 36}{x}

sin (πn)

tan (\frac{π}{2} + x)

tan^{2} (x) + 1

cot (arctan (x))

cos (arcsin (4 x))