What is tan(arccos(x)) ?

The solution to tan(arccos(x)) is (sqrt(1-x^2))/x

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simplify tan(arccos(x))

simplify

tan (arccos (x))

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

Solution steps

tan (arccos (x))

Use the following identity:

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

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

tan (arctan (x))

cos (arccos (x))

sin (\frac{π}{2} - x)

tan (- x)

sin (x + \frac{π}{2})