What is cos(arcsin(3/x)) ?

The solution to cos(arcsin(3/x)) is (sqrt(x^2-9))/x

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simplify cos(arcsin(3/x))

simplify

cos (arcsin (\frac{3}{x}))

\frac{x ^{2} - 9}{x}

Solution steps

cos (arcsin (\frac{3}{x}))

Use the following identity:

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

= 1 - (\frac{3}{x})^{2}

Simplify

= \frac{x ^{2} - 9}{x}

sec (- x)

cos (2 nπ)

tan (arccsc (x))

1 - cos^{2} (x)

cos (- θ)