What is cot(arcsin((w-1)/(w+2))) ?

The solution to cot(arcsin((w-1)/(w+2))) is (sqrt(6w+3))/(w-1)

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simplify cot(arcsin((w-1)/(w+2)))

simplify

cot (arcsin (\frac{w - 1}{w + 2}))

\frac{6 w + 3}{w - 1}

Solution steps

cot (arcsin (\frac{w - 1}{w + 2}))

Use the following identity:

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

= \frac{1 - ( \frac{w - 1}{w + 2} ) ^{2}}{( \frac{w - 1}{w + 2} )}

Simplify

= \frac{6 w + 3}{w - 1}

cos ((\frac{5 π}{2}) + θ)

sin (6 0^{\circ} - a)

cot (arccsc (2 x))

sin (6 0^{\circ} - b)

tan ([arcsec (3 x)])

What is cot(arcsin((w-1)/(w+2))) ?
The solution to cot(arcsin((w-1)/(w+2))) is (sqrt(6w+3))/(w-1)