What is cot(arcsec(x/a)) ?

The solution to cot(arcsec(x/a)) is (asqrt(x^2-a^2))/(x^2-a^2)

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simplify cot(arcsec(x/a))

simplify

cot (arcsec (\frac{x}{a}))

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

Solution steps

cot (arcsec (\frac{x}{a}))

Use the following identity:

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

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

Simplify

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

cos ((t - π) + π)

cos (x - \frac{π}{5})

tan (t + π)

cos (- 5 t)

sec (\cdot arcsec (x))

What is cot(arcsec(x/a)) ?
The solution to cot(arcsec(x/a)) is (asqrt(x^2-a^2))/(x^2-a^2)