What is the value of tan((29pi)/6) ?

The value of tan((29pi)/6) is -(sqrt(3))/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

tan((29pi)/6)

tan (\frac{29 π}{6})

- \frac{3}{3}

Solution steps

tan (\frac{29 π}{6})

tan (\frac{29 π}{6}) = tan (\frac{5 π}{6})

= tan (\frac{5 π}{6})

Rewrite using trig identities:

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

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

Use the following trivial identity:

sin (\frac{5 π}{6}) = \frac{1}{2}

Use the following trivial identity:

cos (\frac{5 π}{6}) = - \frac{3}{2}

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

Simplify

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

= - \frac{3}{3}

4.5 sin (1 7^{\circ})

5 sin (5 5^{\circ})

\frac{80}{cos ( 6 0 ^{\circ} )}

arccos (\frac{6}{25})

arccos (\frac{1}{1})