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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sec(arccot(x/3))

simplify

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

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

Solution steps

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

Use the following identity:

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

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

Simplify

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

sin (- x - \frac{π}{2})

x cos (- \frac{467 π}{1800})

4 - 4 \cdot sin^{2} (x)

tan (arcsec (\frac{x}{9}))

2 sin (x) - cos (9 0^{\circ} - x)