What is cos(arcsin(1/n)) ?

The solution to cos(arcsin(1/n)) is (sqrt(n^2-1))/n

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simplify cos(arcsin(1/n))

simplify

cos (arcsin (\frac{1}{n}))

\frac{n ^{2} - 1}{n}

Solution steps

cos (arcsin (\frac{1}{n}))

Use the following identity:

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

= 1 - (\frac{1}{n})^{2}

Simplify

= \frac{n ^{2} - 1}{n}

cot (- y)

a rco tan (\frac{- 107.2}{311.5})

cos (\frac{1}{x} + 3 π)

tan (nπ + θ)

(sin (π x)) (1 - sin^{2} (π x))^{4}