What is the value of cot(54) ?

The value of cot(54) 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(54)

cot (5 4^{\circ})

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

Solution steps

cot (5 4^{\circ})

Rewrite using trig identities:

\frac{cos ( 5 4 ^{\circ} )}{sin ( 5 4 ^{\circ} )}

= \frac{cos ( 5 4 ^{\circ} )}{sin ( 5 4 ^{\circ} )}

Rewrite using trig identities:

cos (5 4^{\circ}) = \frac{2 5 - 5}{4}

Rewrite using trig identities:

sin (5 4^{\circ}) = \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}

arccot (- 8)

sin^{3} (\frac{3 π}{2})

cos (28. 5^{\circ})

2 cos^{2} (3 5^{\circ}) - 1

4 \cdot cos (1 0^{\circ})

What is the value of cot(54) ?
The value of cot(54) is (sqrt(2)(sqrt(5)-1)sqrt(5-\sqrt{5)})/4