What is tan(arcsec(x/3)) ?

The solution to tan(arcsec(x/3)) is (sqrt(x^2-9))/3

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simplify tan(arcsec(x/3))

simplify

tan (arcsec (\frac{x}{3}))

\frac{x ^{2} - 9}{3}

Solution steps

tan (arcsec (\frac{x}{3}))

Use the following identity:

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

= (\frac{x}{3})^{2} - 1

Simplify

= \frac{x ^{2} - 9}{3}

cos (x + \frac{π}{4})

sin (arctan (\frac{x}{4}))

cos (x + 9 0^{\circ})

cos (x - \frac{π}{4})

cos (π + nπ)