What is tan(arccos(2x)) ?

The solution to tan(arccos(2x)) is (sqrt(1-4x^2))/(2x)

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simplify tan(arccos(2x))

simplify

tan (arccos (2 x))

\frac{1 - 4 x ^{2}}{2 x}

Solution steps

tan (arccos (2 x))

Use the following identity:

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

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

1 - (2 x)^{2} = 1 - 4 x^{2}

= \frac{1 - 4 x ^{2}}{2 x}

4 cos (x + \frac{π}{3})

1 - (sin (x))^{2}

cot (18 0^{\circ} - x)

sin (arctan (\frac{a}{b}))

sin (x - 18 0^{\circ})

What is tan(arccos(2x)) ?
The solution to tan(arccos(2x)) is (sqrt(1-4x^2))/(2x)