What is tan(arccos(x/6)) ?

The solution to tan(arccos(x/6)) is (sqrt(36-x^2))/x

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simplify tan(arccos(x/6))

simplify

tan (arccos (\frac{x}{6}))

\frac{36 - x ^{2}}{x}

Solution steps

tan (arccos (\frac{x}{6}))

Use the following identity:

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

= \frac{1 - ( \frac{x}{6} ) ^{2}}{( \frac{x}{6} )}

Simplify

= \frac{36 - x ^{2}}{x}

sin (2 x - \frac{π}{2})

cos (- 2 t)

sec (θ) - csc (9 0^{\circ} - θ)

3 sin (x + \frac{π}{2})

sin (3 0^{\circ} + x)