What is sin(arccos(10x)) ?

The solution to sin(arccos(10x)) is sqrt(1-100x^2)

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simplify sin(arccos(10x))

simplify

sin (arccos (10 x))

1 - 100 x^{2}

Solution steps

sin (arccos (10 x))

Use the following identity:

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

= 1 - (10 x)^{2}

Simplify

= 1 - 100 x^{2}

3 sin (- x)

tan^{2} (9 0^{\circ} - θ)

tan (- arctan (1) + c)

sin (\frac{5}{6} π + j^{3})

cos (3 t - 3 π)