What is cot(arcsin(3x+3)) ?

The solution to cot(arcsin(3x+3)) is (sqrt(-9x^2-18x-8))/(3x+3)

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simplify cot(arcsin(3x+3))

simplify

cot (arcsin (3 x + 3))

\frac{- 9 x ^{2} - 18 x - 8}{3 x + 3}

Solution steps

cot (arcsin (3 x + 3))

Use the following identity:

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

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

Simplify

= \frac{- 9 x ^{2} - 18 x - 8}{3 x + 3}

cos (\frac{π}{2} - 5 π x)

tan (arcsin (\frac{x}{9}))

a r tan (- \frac{5}{- 3})

- cos (- 4 x)

\frac{sin ( - 2 π + x )}{cos ( 3 π - x )}

What is cot(arcsin(3x+3)) ?
The solution to cot(arcsin(3x+3)) is (sqrt(-9x^2-18x-8))/(3x+3)