What is cot(arccos(x/8)) ?

The solution to cot(arccos(x/8)) is (xsqrt(64-x^2))/(64-x^2)

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simplify cot(arccos(x/8))

simplify

cot (arccos (\frac{x}{8}))

\frac{x 64 - x ^{2}}{64 - x ^{2}}

Solution steps

cot (arccos (\frac{x}{8}))

Use the following identity:

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

= \frac{( \frac{x}{8} ) 1 - ( \frac{x}{8} ) ^{2}}{1 - ( \frac{x}{8} ) ^{2}}

Simplify

= \frac{x 64 - x ^{2}}{64 - x ^{2}}

2 cos (π + x)

sin (arctan (θ))

cot (π + x)

sin (arcsin (x) + \frac{π}{6})

csc (\frac{π}{2} - x)

What is cot(arccos(x/8)) ?
The solution to cot(arccos(x/8)) is (xsqrt(64-x^2))/(64-x^2)