What is sin(arccos(x/(13))) ?

The solution to sin(arccos(x/(13))) is (sqrt(169-x^2))/(13)

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simplify sin(arccos(x/(13)))

simplify

sin (arccos (\frac{x}{13}))

\frac{169 - x ^{2}}{13}

Solution steps

sin (arccos (\frac{x}{13}))

Use the following identity:

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

= 1 - (\frac{x}{13})^{2}

Simplify

= \frac{169 - x ^{2}}{13}

cos (x - \frac{π}{12})

1 + (- cot (x))^{2}

2 cos (x + \frac{π}{2})

cos (- arctan (\frac{b}{a}))

cos (b) x - cos (\frac{π}{2} - b x)

What is sin(arccos(x/(13))) ?
The solution to sin(arccos(x/(13))) is (sqrt(169-x^2))/(13)