What is sin(arccos(2x)) ?

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

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simplify sin(arccos(2x))

simplify

sin (arccos (2 x))

1 - 4 x^{2}

Solution steps

sin (arccos (2 x))

Use the following identity:

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

= 1 - (2 x)^{2}

Simplify

= 1 - 4 x^{2}

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