What is the value of cos(arctan(3)) ?

The value of cos(arctan(3)) is (sqrt(10))/(10)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

cos(arctan(3))

cos (arctan (3))

\frac{10}{10}

Decimal Notation

0.31622 \dots

Solution steps

cos (arctan (3))

Rewrite using trig identities:

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

Use the following identity:

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

= \frac{1 + 3 ^{2}}{1 + 3 ^{2}}

= \frac{1 + 3 ^{2}}{1 + 3 ^{2}}

Simplify

= \frac{10}{10}

12 sin (6 0^{\circ})

sin (\frac{16 π}{3})

cos (4 4^{\circ})

1 + cos (π)

tan (arctan (7))

What is the value of cos(arctan(3)) ?
The value of cos(arctan(3)) is (sqrt(10))/(10)