What is cot(arccos(x/(14))) ?

The solution to cot(arccos(x/(14))) is (xsqrt(196-x^2))/(196-x^2)

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simplify cot(arccos(x/(14)))

simplify

cot (arccos (\frac{x}{14}))

\frac{x 196 - x ^{2}}{196 - x ^{2}}

Solution steps

cot (arccos (\frac{x}{14}))

Use the following identity:

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

= \frac{( \frac{x}{14} ) 1 - ( \frac{x}{14} ) ^{2}}{1 - ( \frac{x}{14} ) ^{2}}

Simplify

= \frac{x 196 - x ^{2}}{196 - x ^{2}}

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What is cot(arccos(x/(14))) ?
The solution to cot(arccos(x/(14))) is (xsqrt(196-x^2))/(196-x^2)