What is sin(arccos(6-x)) ?

The solution to sin(arccos(6-x)) is sqrt(-x^2+12x-35)

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simplify sin(arccos(6-x))

simplify

sin (arccos (6 - x))

- x^{2} + 12 x - 35

Solution steps

sin (arccos (6 - x))

Use the following identity:

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

= 1 - (6 - x)^{2}

Expand

1 - (6 - x)^{2} : - x^{2} + 12 x - 35

= - x^{2} + 12 x - 35

2 sin (4 t - π) + 1

cot (arccot (θ))

sin (arctan (6) + πn)

\frac{1}{2} sec (2 π x - π)

sec (x - 36 0^{\circ})

What is sin(arccos(6-x)) ?
The solution to sin(arccos(6-x)) is sqrt(-x^2+12x-35)