What is the value of 2cot(pi/5) ?

The value of 2cot(pi/5) is ((3sqrt(10)+5sqrt(2))sqrt(5-\sqrt{5)})/(10)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2cot(pi/5)

2 cot (\frac{π}{5})

\frac{( 3 10 + 5 2 ) 5 - 5}{10}

Solution steps

2 cot (\frac{π}{5})

Rewrite using trig identities:

cot (\frac{π}{5}) = \frac{( 3 10 + 5 2 ) 5 - 5}{20}

= 2 \cdot \frac{( 3 10 + 5 2 ) 5 - 5}{20}

Simplify

2 \cdot \frac{( 3 10 + 5 2 ) 5 - 5}{20} : \frac{( 3 10 + 5 2 ) 5 - 5}{10}

= \frac{( 3 10 + 5 2 ) 5 - 5}{10}

arccos (\frac{6}{18})

arcsin (\frac{7}{13})

\frac{6}{sin ( 5 5 ^{\circ} )}

tan (arccos (\frac{- 12}{13}))

- π sin (2 π)

What is the value of 2cot(pi/5) ?
The value of 2cot(pi/5) is ((3sqrt(10)+5sqrt(2))sqrt(5-\sqrt{5)})/(10)