What is tan(arccos(9x)) ?

The solution to tan(arccos(9x)) is (sqrt(1-81x^2))/(9x)

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simplify tan(arccos(9x))

simplify

tan (arccos (9 x))

\frac{1 - 81 x ^{2}}{9 x}

Solution steps

tan (arccos (9 x))

Use the following identity:

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

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

1 - (9 x)^{2} = 1 - 81 x^{2}

= \frac{1 - 81 x ^{2}}{9 x}

sin (n \cdot π)

cot (arctan (u))

cot (9 0^{\circ} + x)

tan (2 π + x)

csc (x) cos (x + \frac{π}{2})

What is tan(arccos(9x)) ?
The solution to tan(arccos(9x)) is (sqrt(1-81x^2))/(9x)