What is tan(arccos(y/4)) ?

The solution to tan(arccos(y/4)) is (sqrt(16-y^2))/y

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simplify tan(arccos(y/4))

simplify

tan (arccos (\frac{y}{4}))

\frac{16 - y ^{2}}{y}

Solution steps

tan (arccos (\frac{y}{4}))

Use the following identity:

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

= \frac{1 - ( \frac{y}{4} ) ^{2}}{( \frac{y}{4} )}

Simplify

= \frac{16 - y ^{2}}{y}

tan (π + x)

tan (18 0^{\circ} + θ)

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

tan (x + \frac{π}{2})

cos (arctan (\frac{x}{2}))