What is sin(arccos(7x)) ?

The solution to sin(arccos(7x)) is sqrt(1-49x^2)

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simplify sin(arccos(7x))

simplify

sin (arccos (7 x))

1 - 49 x^{2}

Solution steps

sin (arccos (7 x))

Use the following identity:

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

= 1 - (7 x)^{2}

Simplify

= 1 - 49 x^{2}

1 - 3 cos (θ - \frac{π}{3})

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