What is the value of cos((31pi)/6) ?

The value of cos((31pi)/6) 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((31pi)/6)

cos (\frac{31 π}{6})

- \frac{3}{2}

Solution steps

cos (\frac{31 π}{6})

cos (\frac{31 π}{6}) = cos (\frac{7 π}{6})

= cos (\frac{7 π}{6})

Rewrite using trig identities:

cos (π) cos (\frac{π}{6}) - sin (π) sin (\frac{π}{6})

= cos (π) cos (\frac{π}{6}) - sin (π) sin (\frac{π}{6})

Use the following trivial identity:

cos (π) = (- 1)

Use the following trivial identity:

cos (\frac{π}{6}) = \frac{3}{2}

Use the following trivial identity:

sin (π) = 0

Use the following trivial identity:

sin (\frac{π}{6}) = \frac{1}{2}

= (- 1) \frac{3}{2} - 0 \cdot \frac{1}{2}

Simplify

= - \frac{3}{2}

tan (6 3^{\circ})

tan (2 1^{\circ})

sin (\frac{12}{13})

cos (- 4 π)

arccos (cos (- \frac{π}{6}))