What is the value of tan((11pi)/3) ?

The value of tan((11pi)/3) is -sqrt(3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

tan((11pi)/3)

tan (\frac{11 π}{3})

- 3

Solution steps

tan (\frac{11 π}{3})

tan (\frac{11 π}{3}) = tan (\frac{2 π}{3})

= tan (\frac{2 π}{3})

Rewrite using trig identities:

\frac{sin ( \frac{2 π}{3} )}{cos ( \frac{2 π}{3} )}

= \frac{sin ( \frac{2 π}{3} )}{cos ( \frac{2 π}{3} )}

Use the following trivial identity:

sin (\frac{2 π}{3}) = \frac{3}{2}

Use the following trivial identity:

cos (\frac{2 π}{3}) = - \frac{1}{2}

= \frac{\frac{3}{2}}{- \frac{1}{2}}

Simplify

\frac{\frac{3}{2}}{- \frac{1}{2}} : - 3

= - 3

arccos (\frac{2}{7})

sin (\frac{π}{3} + \frac{π}{4})

cot (- \frac{8 π}{3})

tan (\frac{1}{3})

cot (\frac{13 π}{6})