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

The solution to cot(arccos(c/x)) is (csqrt(x^2-c^2))/(x^2-c^2)

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simplify cot(arccos(c/x))

simplify

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

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

Solution steps

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

Use the following identity:

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

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

Simplify

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

cos (2 x - 2 π)

csc (x) tan^{2} (- x)

7 sin ((n + 2) π) - 7 sin (nπ)

sin (\frac{π}{3} - x)

(2 csc (θ))^{2} - 4

What is cot(arccos(c/x)) ?
The solution to cot(arccos(c/x)) is (csqrt(x^2-c^2))/(x^2-c^2)