What is sin(arccos(8x)) ?

The solution to sin(arccos(8x)) is sqrt(1-64x^2)

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simplify sin(arccos(8x))

simplify

sin (arccos (8 x))

1 - 64 x^{2}

Solution steps

sin (arccos (8 x))

Use the following identity:

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

= 1 - (8 x)^{2}

Simplify

= 1 - 64 x^{2}

sin (x + 6 0^{\circ})

(tan (θ))^{2} + 1

\frac{2}{sin ( x + 36 0 ^{\circ} )}

cos (π - α)

sin (- n)