What is the value of cos((-13pi)/(12)) ?

The value of cos((-13pi)/(12)) is (sqrt(2)(-sqrt(3)-1))/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

cos((-13pi)/(12))

cos (\frac{- 13 π}{12})

\frac{2 ( - 3 - 1 )}{4}

Solution steps

cos (\frac{- 13 π}{12})

Simplify

= cos (- \frac{13 π}{12})

Use the following property:

cos (- x) = cos (x)

cos (- \frac{13 π}{12}) = cos (\frac{13 π}{12})

= cos (\frac{13 π}{12})

Rewrite using trig identities:

cos (\frac{5 π}{6}) cos (\frac{π}{4}) - sin (\frac{5 π}{6}) sin (\frac{π}{4})

= cos (\frac{5 π}{6}) cos (\frac{π}{4}) - sin (\frac{5 π}{6}) sin (\frac{π}{4})

Use the following trivial identity:

cos (\frac{5 π}{6}) = - \frac{3}{2}

Use the following trivial identity:

cos (\frac{π}{4}) = \frac{2}{2}

Use the following trivial identity:

sin (\frac{5 π}{6}) = \frac{1}{2}

Use the following trivial identity:

sin (\frac{π}{4}) = \frac{2}{2}

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

Simplify

(- \frac{3}{2}) \frac{2}{2} - \frac{1}{2} \cdot \frac{2}{2} : \frac{2 ( - 3 - 1 )}{4}

= \frac{2 ( - 3 - 1 )}{4}

sin (4 \cdot \frac{π}{2})

sin (45 π)

sin (3 0^{\circ}) \cdot 10

2 cos (27 0^{\circ})

- cos (0) + sin (0)

What is the value of cos((-13pi)/(12)) ?
The value of cos((-13pi)/(12)) is (sqrt(2)(-sqrt(3)-1))/4