What is cot(arccos(U)) ?

The solution to cot(arccos(U)) is (Usqrt(1-U^2))/(1-U^2)

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simplify cot(arccos(U))

simplify

cot (arccos (U))

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

Solution steps

cot (arccos (U))

Use the following identity:

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

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

\frac{csc ( a )}{1 cot ^{2} ( a )}

sec (arctan (\frac{4 x}{3}))

cos (arccos (10 x))

2 cos (θ - \frac{3 π}{2}) + 1

tan (arcsin (θ))

What is cot(arccos(U)) ?
The solution to cot(arccos(U)) is (Usqrt(1-U^2))/(1-U^2)