What is cos(arctan(2x)) ?

The solution to cos(arctan(2x)) is (sqrt(1+4x^2))/(1+4x^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify cos(arctan(2x))

simplify

cos (arctan (2 x))

\frac{1 + 4 x ^{2}}{1 + 4 x ^{2}}

Solution steps

cos (arctan (2 x))

Use the following identity:

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

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

Simplify

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

cos (x + \frac{7 π}{6})

- 6 cos (x + \frac{π}{4})

\frac{tan ( y ) d y}{cos ^{2} ( y )}

cot (\frac{3 π}{2} - x)

cos (377 t) \cdot cos (377 t + π)

What is cos(arctan(2x)) ?
The solution to cos(arctan(2x)) is (sqrt(1+4x^2))/(1+4x^2)