What is cot(arccos(w/6)) ?

The solution to cot(arccos(w/6)) is (wsqrt(36-w^2))/(36-w^2)

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simplify cot(arccos(w/6))

simplify

cot (arccos (\frac{w}{6}))

\frac{w 36 - w ^{2}}{36 - w ^{2}}

Solution steps

cot (arccos (\frac{w}{6}))

Use the following identity:

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

= \frac{( \frac{w}{6} ) 1 - ( \frac{w}{6} ) ^{2}}{1 - ( \frac{w}{6} ) ^{2}}

Simplify

= \frac{w 36 - w ^{2}}{36 - w ^{2}}

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What is cot(arccos(w/6)) ?
The solution to cot(arccos(w/6)) is (wsqrt(36-w^2))/(36-w^2)