What is tan(arcsec((2u)/a)) ?

The solution to tan(arcsec((2u)/a)) is (sqrt(4u^2-a^2))/a

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simplify tan(arcsec((2u)/a))

simplify

tan (arcsec (\frac{2 u}{a}))

\frac{4 u ^{2} - a ^{2}}{a}

Solution steps

tan (arcsec (\frac{2 u}{a}))

Use the following identity:

tan (arcsec (x)) = x^{2} - 1

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

Simplify

= \frac{4 u ^{2} - a ^{2}}{a}

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cot (- 1 (tan (\frac{5 n}{3})))

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What is tan(arcsec((2u)/a)) ?
The solution to tan(arcsec((2u)/a)) is (sqrt(4u^2-a^2))/a