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

The solution to cot(arccos(x/(13))) is (xsqrt(169-x^2))/(169-x^2)

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simplify cot(arccos(x/(13)))

simplify

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

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

Solution steps

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

Use the following identity:

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

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

Simplify

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

(csc (x) + 1) (cot (x) sec (x) - 1)

sin (arctan (u))

tan (2 π + θ)

- 3 cos (x - \frac{π}{2})

- sin (θ - 9 0^{\circ})

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