What is tan(arccos(3x)) ?

The solution to tan(arccos(3x)) is (sqrt(1-9x^2))/(3x)

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simplify tan(arccos(3x))

simplify

tan (arccos (3 x))

\frac{1 - 9 x ^{2}}{3 x}

Solution steps

tan (arccos (3 x))

Use the following identity:

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

= \frac{1 - ( 3 x ) ^{2}}{3 x}

1 - (3 x)^{2} = 1 - 9 x^{2}

= \frac{1 - 9 x ^{2}}{3 x}

sin (12 0^{\circ} - x)

cos (2 x - \frac{π}{2})

cos (x + 2 π)

cos (x) - cos (- x)

cos (9 0^{\circ} + a)

What is tan(arccos(3x)) ?
The solution to tan(arccos(3x)) is (sqrt(1-9x^2))/(3x)