What is cot(arcsin(x/2)) ?

The solution to cot(arcsin(x/2)) is (sqrt(4-x^2))/x

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simplify cot(arcsin(x/2))

simplify

cot (arcsin (\frac{x}{2}))

\frac{4 - x ^{2}}{x}

Solution steps

cot (arcsin (\frac{x}{2}))

Use the following identity:

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

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

Simplify

= \frac{4 - x ^{2}}{x}

tan (arctan (\frac{y}{x}))

sin (x + \frac{11 π}{6})

sin (n (- π))

- (sin (- t))

\frac{α}{cot ( - 9 0 ^{\circ} - α )}