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

The value of cos(arctan((sqrt(3))/3)) is (sqrt(3))/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

cos(arctan((sqrt(3))/3))

cos (arctan (\frac{3}{3}))

\frac{3}{2}

Decimal Notation

0.86602 \dots

Solution steps

cos (arctan (\frac{3}{3}))

Rewrite using trig identities:

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

Use the following identity:

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

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

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

Simplify

= \frac{3}{2}

arcsin (0.25)

arccos (0.25)

cos (9 5^{\circ})

400 sin (3 0^{\circ})

cos (6 6^{\circ})

What is the value of cos(arctan((sqrt(3))/3)) ?
The value of cos(arctan((sqrt(3))/3)) is (sqrt(3))/2