What is tan(arccos(x/(13))) ?

The solution to tan(arccos(x/(13))) is (sqrt(169-x^2))/x

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simplify tan(arccos(x/(13)))

simplify

tan (arccos (\frac{x}{13}))

\frac{169 - x ^{2}}{x}

Solution steps

tan (arccos (\frac{x}{13}))

Use the following identity:

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

= \frac{1 - ( \frac{x}{13} ) ^{2}}{( \frac{x}{13} )}

Simplify

= \frac{169 - x ^{2}}{x}

- cos^{3} (18 0^{\circ} + X)

cos (2 t + 2 π)

sin (arctan (t))

sin (t) - sin (- t)

sin (b - b)

What is tan(arccos(x/(13))) ?
The solution to tan(arccos(x/(13))) is (sqrt(169-x^2))/x