What is the value of (20)/(sin(36)) ?

The value of (20)/(sin(36)) is 2(5sqrt(2)+sqrt(10))sqrt(5-\sqrt{5)}

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(20)/(sin(36))

\frac{20}{sin ( 3 6 ^{\circ} )}

2 (52 + 10) 5 - 5

Solution steps

\frac{20}{sin ( 3 6 ^{\circ} )}

Rewrite using trig identities:

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

= \frac{20}{\frac{2 5 - 5}{4}}

Simplify

\frac{20}{\frac{2 5 - 5}{4}} : 2 (52 + 10) 5 - 5

= 2 (52 + 10) 5 - 5

\frac{1}{1 + sin ( \frac{π}{2} )}

\frac{1}{2} (25) (12) sin (7 0^{\circ})

30 \cdot sin (7 5^{\circ})

25 \cdot sin (2 5^{\circ})

sin (\frac{2 π}{5}) cos (\frac{2 π}{5})

What is the value of (20)/(sin(36)) ?
The value of (20)/(sin(36)) is 2(5sqrt(2)+sqrt(10))sqrt(5-\sqrt{5)}