What is cot(arccos(1/v)) ?

The solution to cot(arccos(1/v)) is (sqrt(v^2-1))/(v^2-1)

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simplify cot(arccos(1/v))

simplify

cot (arccos (\frac{1}{v}))

\frac{v ^{2} - 1}{v ^{2} - 1}

Solution steps

cot (arccos (\frac{1}{v}))

Use the following identity:

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

= \frac{( \frac{1}{v} ) 1 - ( \frac{1}{v} ) ^{2}}{1 - ( \frac{1}{v} ) ^{2}}

Simplify

= \frac{v ^{2} - 1}{v ^{2} - 1}

ln (- \frac{1}{cos ( x )})

sin^{2} (9 0^{\circ} + a)

- 4.5 cos (3 x - \frac{π}{8})

cos (\frac{π}{2} + φ)

cos (9 0^{\circ}) + cos (- 2 A)

What is cot(arccos(1/v)) ?
The solution to cot(arccos(1/v)) is (sqrt(v^2-1))/(v^2-1)