What is sin(arccos(4x)) ?

The solution to sin(arccos(4x)) is sqrt(1-16x^2)

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simplify sin(arccos(4x))

simplify

sin (arccos (4 x))

1 - 16 x^{2}

Solution steps

sin (arccos (4 x))

Use the following identity:

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

= 1 - (4 x)^{2}

Simplify

= 1 - 16 x^{2}

cos (θ - 54 0^{\circ})

\frac{- cos ( x )}{cos ^{2} ( x )}

sin (arccos (\frac{12}{x}))

tan (arcsec (x))

tan (2 x + \frac{π}{2})