What is cot(arccos((12x)/(13))) ?

The solution to cot(arccos((12x)/(13))) is (12xsqrt(169-144x^2))/(169-144x^2)

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simplify cot(arccos((12x)/(13)))

simplify

cot (arccos (\frac{12 x}{13}))

\frac{12 x 169 - 144 x ^{2}}{169 - 144 x ^{2}}

Solution steps

cot (arccos (\frac{12 x}{13}))

Use the following identity:

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

= \frac{( \frac{12 x}{13} ) 1 - ( \frac{12 x}{13} ) ^{2}}{1 - ( \frac{12 x}{13} ) ^{2}}

Simplify

= \frac{12 x 169 - 144 x ^{2}}{169 - 144 x ^{2}}

- (sin (- x))

sin (3 \frac{π}{2} - a)

(4 - 4 sin^{2} (θ))^{\frac{3}{2}}

cot (\frac{π}{2} - θ)

sin (θ + \frac{π}{6})

What is cot(arccos((12x)/(13))) ?
The solution to cot(arccos((12x)/(13))) is (12xsqrt(169-144x^2))/(169-144x^2)