What is cot(arccos(x/(15))) ?

The solution to cot(arccos(x/(15))) is (xsqrt(225-x^2))/(225-x^2)

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simplify cot(arccos(x/(15)))

simplify

cot (arccos (\frac{x}{15}))

\frac{x 225 - x ^{2}}{225 - x ^{2}}

Solution steps

cot (arccos (\frac{x}{15}))

Use the following identity:

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

= \frac{( \frac{x}{15} ) 1 - ( \frac{x}{15} ) ^{2}}{1 - ( \frac{x}{15} ) ^{2}}

Simplify

= \frac{x 225 - x ^{2}}{225 - x ^{2}}

sin (2 x + \frac{π}{6})

cos (x - \frac{3 π}{4})

tan (π - θ) + cot (\frac{π}{2} - θ)

cos^{2} (π + θ) + sin^{2} (π + θ)

cos (- 2 θ)

What is cot(arccos(x/(15))) ?
The solution to cot(arccos(x/(15))) is (xsqrt(225-x^2))/(225-x^2)