What is sin(arccos((12)/x)) ?

The solution to sin(arccos((12)/x)) is (sqrt(x^2-144))/x

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simplify sin(arccos((12)/x))

simplify

sin (arccos (\frac{12}{x}))

\frac{x ^{2} - 144}{x}

Solution steps

sin (arccos (\frac{12}{x}))

Use the following identity:

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

= 1 - (\frac{12}{x})^{2}

Simplify

= \frac{x ^{2} - 144}{x}

tan (arcsec (x))

tan (2 x + \frac{π}{2})

tan (\frac{π}{2} - x) tan (x)

cos (\frac{π}{2} - x) - sin (x)

cos (- 3 θ)

What is sin(arccos((12)/x)) ?
The solution to sin(arccos((12)/x)) is (sqrt(x^2-144))/x