What is sin(arccos(x/7)) ?

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

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simplify sin(arccos(x/7))

simplify

sin (arccos (\frac{x}{7}))

\frac{49 - x ^{2}}{7}

Solution steps

sin (arccos (\frac{x}{7}))

Use the following identity:

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

= 1 - (\frac{x}{7})^{2}

Simplify

= \frac{49 - x ^{2}}{7}

x^{2} - (x sin (x))^{2}

5 sin (3 x - π)

cos (x + \frac{π}{2}) - cos (x)

sin (- x^{3})

sin (π - 2 arcsin (\frac{1}{x}))