What is the value of cos((25pi)/(12)) ?

The value of cos((25pi)/(12)) is (sqrt(6)+sqrt(2))/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

cos((25pi)/(12))

cos (\frac{25 π}{12})

\frac{6 + 2}{4}

Solution steps

cos (\frac{25 π}{12})

cos (\frac{25 π}{12}) = cos (\frac{π}{12})

= cos (\frac{π}{12})

Rewrite using trig identities:

cos (\frac{π}{4}) cos (\frac{π}{6}) + sin (\frac{π}{4}) sin (\frac{π}{6})

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

Use the following trivial identity:

cos (\frac{π}{4}) = \frac{2}{2}

Use the following trivial identity:

cos (\frac{π}{6}) = \frac{3}{2}

Use the following trivial identity:

sin (\frac{π}{4}) = \frac{2}{2}

Use the following trivial identity:

sin (\frac{π}{6}) = \frac{1}{2}

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

Simplify

\frac{2}{2} \cdot \frac{3}{2} + \frac{2}{2} \cdot \frac{1}{2} : \frac{6 + 2}{4}

= \frac{6 + 2}{4}

arcsin (cos (- \frac{4 π}{3}))

sin (63.4 3^{\circ})

arctan (\frac{8}{- 8})

10 sin (7 0^{\circ})

arctan (- \frac{5}{12})

What is the value of cos((25pi)/(12)) ?
The value of cos((25pi)/(12)) is (sqrt(6)+sqrt(2))/4