What is the value of (10)/(sin(36)) ?

The value of (10)/(sin(36)) is (5sqrt(2)+sqrt(10))sqrt(5-\sqrt{5)}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(10)/(sin(36))

\frac{10}{sin ( 3 6 ^{\circ} )}

(52 + 10) 5 - 5

Solution steps

\frac{10}{sin ( 3 6 ^{\circ} )}

Rewrite using trig identities:

sin (3 6^{\circ}) = \frac{2 5 - 5}{4}

= \frac{10}{\frac{2 5 - 5}{4}}

Simplify

\frac{10}{\frac{2 5 - 5}{4}} : (52 + 10) 5 - 5

= (52 + 10) 5 - 5

4 (sin (15 0^{\circ})) (cos (21 0^{\circ})) + 3 (tan (24 0^{\circ}))

30 sin (1 0^{\circ})

cos (3 (\frac{2 π}{3}))

cos (2 5^{\circ}) cos (2 0^{\circ}) - sin (2 5^{\circ}) sin (2 0^{\circ})

[2 (cos (\frac{π}{3}) + i sin (\frac{π}{3}))]^{4}

What is the value of (10)/(sin(36)) ?
The value of (10)/(sin(36)) is (5sqrt(2)+sqrt(10))sqrt(5-\sqrt{5)}