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

The value of tan((25pi)/(12)) is 2-sqrt(3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

tan((25pi)/(12))

tan (\frac{25 π}{12})

2 - 3

Solution steps

tan (\frac{25 π}{12})

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

= tan (\frac{π}{12})

Rewrite using trig identities:

\frac{tan ( \frac{π}{4} ) - tan ( \frac{π}{6} )}{1 + tan ( \frac{π}{4} ) tan ( \frac{π}{6} )}

= \frac{tan ( \frac{π}{4} ) - tan ( \frac{π}{6} )}{1 + tan ( \frac{π}{4} ) tan ( \frac{π}{6} )}

Use the following trivial identity:

tan (\frac{π}{4}) = 1

Use the following trivial identity:

tan (\frac{π}{6}) = \frac{3}{3}

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

Simplify

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

= 2 - 3

arccos (\frac{27}{33})

sin (\frac{1}{2} arccos (\frac{4}{5}))

sin (arcsin (\frac{7}{25}) - arccos (- \frac{3}{5}))

arccos (\frac{9}{11})

1.2 - 1 - cos (1.2)

What is the value of tan((25pi)/(12)) ?
The value of tan((25pi)/(12)) is 2-sqrt(3)