What is cot(arcsin(u)) ?

The solution to cot(arcsin(u)) is (sqrt(1-u^2))/u

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simplify cot(arcsin(u))

simplify

cot (arcsin (u))

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

Solution steps

cot (arcsin (u))

Use the following identity:

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

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

sin (\frac{3}{2} π - x)

sin (2 π f t) + sin (2 π f t - π)

sin (arctan (\frac{u}{3}))

- sin (9 t + 2 π) - 4 sin (- 9 t)

sin^{2} (x + \frac{π}{2})