What is the value of cot((3pi)/(10)) ?

The value of cot((3pi)/(10)) is (sqrt(2)(sqrt(5)-1)sqrt(5-\sqrt{5)})/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

cot((3pi)/(10))

cot (\frac{3 π}{10})

\frac{2 ( 5 - 1 ) 5 - 5}{4}

Solution steps

cot (\frac{3 π}{10})

Rewrite using trig identities:

\frac{cos ( \frac{3 π}{10} )}{sin ( \frac{3 π}{10} )}

= \frac{cos ( \frac{3 π}{10} )}{sin ( \frac{3 π}{10} )}

Rewrite using trig identities:

cos (\frac{3 π}{10}) = \frac{2 5 - 5}{4}

Rewrite using trig identities:

sin (\frac{3 π}{10}) = \frac{5 + 1}{4}

= \frac{\frac{2 5 - 5}{4}}{\frac{5 + 1}{4}}

Simplify

\frac{\frac{2 5 - 5}{4}}{\frac{5 + 1}{4}} : \frac{2 ( 5 - 1 ) 5 - 5}{4}

= \frac{2 ( 5 - 1 ) 5 - 5}{4}

cos (7) + cos (1 4^{\circ})

arctan (- \frac{3}{5})

arccos (0.63)

arccos (0.59)

arccos (0.83)

What is the value of cot((3pi)/(10)) ?
The value of cot((3pi)/(10)) is (sqrt(2)(sqrt(5)-1)sqrt(5-\sqrt{5)})/4