What is tan(arccos(5x)) ?

The solution to tan(arccos(5x)) is (sqrt(1-25x^2))/(5x)

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simplify tan(arccos(5x))

simplify

tan (arccos (5 x))

\frac{1 - 25 x ^{2}}{5 x}

Solution steps

tan (arccos (5 x))

Use the following identity:

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

= \frac{1 - ( 5 x ) ^{2}}{5 x}

1 - (5 x)^{2} = 1 - 25 x^{2}

= \frac{1 - 25 x ^{2}}{5 x}

tan (arcsin (c x))

tan (x + 3 π)

cos (arctan (w))

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

sin (x - 2 π)

What is tan(arccos(5x)) ?
The solution to tan(arccos(5x)) is (sqrt(1-25x^2))/(5x)