What is tan(arccos(x/(20))) ?

The solution to tan(arccos(x/(20))) is (sqrt(400-x^2))/x

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simplify tan(arccos(x/(20)))

simplify

tan (arccos (\frac{x}{20}))

\frac{400 - x ^{2}}{x}

Solution steps

tan (arccos (\frac{x}{20}))

Use the following identity:

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

= \frac{1 - ( \frac{x}{20} ) ^{2}}{( \frac{x}{20} )}

Simplify

= \frac{400 - x ^{2}}{x}

\frac{( - cos ( - 2 πn ) )}{πn}

πn sin (πn)

- sin (x - 9 0^{\circ})

cos (\frac{123 π}{2} - x)

cos (\frac{9 π}{2} + x)

What is tan(arccos(x/(20))) ?
The solution to tan(arccos(x/(20))) is (sqrt(400-x^2))/x