What is sec(arctan(x/3)) ?

The solution to sec(arctan(x/3)) is (sqrt(9+x^2))/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sec(arctan(x/3))

simplify

sec (arctan (\frac{x}{3}))

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

Solution steps

sec (arctan (\frac{x}{3}))

Use the following identity:

sec (arctan (x)) = 1 + x^{2}

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

Simplify

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

sin (arccos (y))

tan (9 0^{\circ} - θ)

sin (arcsin (2 x))

cot (27 0^{\circ} - x)

cos (π + θ)