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

The solution to tan^3(arcsec(x/3)) is ((x^2-9)^{3/2})/(27)

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simplify tan^3(arcsec(x/3))

simplify

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

\frac{( x ^{2} - 9 ) ^{\frac{3}{2}}}{27}

Solution steps

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

Use the following identity:

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

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

Simplify

= \frac{( x ^{2} - 9 ) ^{\frac{3}{2}}}{27}

tan (arccos (\frac{x}{13}))

- cos^{3} (18 0^{\circ} + X)

cos (2 t + 2 π)

sin (arctan (t))

sin (t) - sin (- t)

What is tan^3(arcsec(x/3)) ?
The solution to tan^3(arcsec(x/3)) is ((x^2-9)^{3/2})/(27)