What is cot(arccos(x/5)) ?

The solution to cot(arccos(x/5)) is (xsqrt(25-x^2))/(25-x^2)

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simplify cot(arccos(x/5))

simplify

cot (arccos (\frac{x}{5}))

\frac{x 25 - x ^{2}}{25 - x ^{2}}

Solution steps

cot (arccos (\frac{x}{5}))

Use the following identity:

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

= \frac{( \frac{x}{5} ) 1 - ( \frac{x}{5} ) ^{2}}{1 - ( \frac{x}{5} ) ^{2}}

Simplify

= \frac{x 25 - x ^{2}}{25 - x ^{2}}

j^{2} cos (- π t + \frac{π}{2})

sin (- 2 nπ)

sin^{2020 n} (- x)

tan (x + \frac{π}{3})

cos (2 x) + cos (- 2 x)

What is cot(arccos(x/5)) ?
The solution to cot(arccos(x/5)) is (xsqrt(25-x^2))/(25-x^2)