What is tan(arcsec(sqrt(x))) ?

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

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simplify tan(arcsec(sqrt(x)))

simplify

tan (arcsec (x))

x - 1

Solution steps

tan (arcsec (x))

Use the following identity:

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

= (x)^{2} - 1

(x)^{2} = x

= x - 1

tan (2 x + \frac{π}{2})

tan (\frac{π}{2} - x) tan (x)

cos (\frac{π}{2} - x) - sin (x)

cos (- 3 θ)

cos (wt - \frac{π}{4})

What is tan(arcsec(sqrt(x))) ?
The solution to tan(arcsec(sqrt(x))) is sqrt(x-1)