What is tan(arccos(x/9)) ?

The solution to tan(arccos(x/9)) is (sqrt(81-x^2))/x

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simplify tan(arccos(x/9))

simplify

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

\frac{81 - x ^{2}}{x}

Solution steps

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

Use the following identity:

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

= \frac{1 - ( \frac{x}{9} ) ^{2}}{( \frac{x}{9} )}

Simplify

= \frac{81 - x ^{2}}{x}

cos (2 x + \frac{2 π}{3})

cot (- θ)

cos (θ - π)

cos (nπ) - cos (- nπ)

cos (- n)