What is tan(arcsec(2x)) ?

The solution to tan(arcsec(2x)) is sqrt(4x^2-1)

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simplify tan(arcsec(2x))

simplify

tan (arcsec (2 x))

4 x^{2} - 1

Solution steps

tan (arcsec (2 x))

Use the following identity:

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

= (2 x)^{2} - 1

Simplify

= 4 x^{2} - 1

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