What is cos(arctan(x/4)) ?

The solution to cos(arctan(x/4)) is (4sqrt(16+x^2))/(16+x^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify cos(arctan(x/4))

simplify

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

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

Solution steps

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

Use the following identity:

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

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

Simplify

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

sin (\frac{π}{2} - a)

tan (x + \frac{π}{4})

sin^{2} (- cos^{2} (x))

cot (\frac{3 π}{2} + x)

sin (2 π + x)

What is cos(arctan(x/4)) ?
The solution to cos(arctan(x/4)) is (4sqrt(16+x^2))/(16+x^2)