What is tan(arcsec(x/4)) ?

The solution to tan(arcsec(x/4)) is (sqrt(x^2-16))/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify tan(arcsec(x/4))

simplify

tan (arcsec (\frac{x}{4}))

\frac{x ^{2} - 16}{4}

Solution steps

tan (arcsec (\frac{x}{4}))

Use the following identity:

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

= (\frac{x}{4})^{2} - 1

Simplify

= \frac{x ^{2} - 16}{4}

\frac{1}{2} sin (x - π)

4 sin (3 x - π)

arctan (sin (arctan (x)))

\frac{1}{2} tan (x + \frac{π}{4})

3 cos (2 θ - 6 0^{\circ}) - 2