What is tan(arccos(3/x)) ?

The solution to tan(arccos(3/x)) is (sqrt(x^2-9))/3

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simplify tan(arccos(3/x))

simplify

tan (arccos (\frac{3}{x}))

\frac{x ^{2} - 9}{3}

Solution steps

tan (arccos (\frac{3}{x}))

Use the following identity:

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

= \frac{1 - ( \frac{3}{x} ) ^{2}}{( \frac{3}{x} )}

Simplify

= \frac{x ^{2} - 9}{3}

cos (a - 9 0^{\circ})

cos (- y)

cos (arctan (\frac{t}{R}))

cot (- 9 0^{\circ} - α)

sin (2 x + 0.5 π + \frac{π x}{2})