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

The value of sin((2pi)/5) is (sqrt(2)sqrt(5+\sqrt{5)})/4

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sin((2pi)/5)

sin (\frac{2 π}{5})

\frac{2 5 + 5}{4}

Solution steps

sin (\frac{2 π}{5})

Rewrite using trig identities:

cos (\frac{π}{10})

= cos (\frac{π}{10})

Rewrite using trig identities:

\frac{1 + cos ( \frac{π}{5} )}{2}

= \frac{1 + cos ( \frac{π}{5} )}{2}

Rewrite using trig identities:

cos (\frac{π}{5}) = \frac{5 + 1}{4}

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

Simplify

\frac{1 + \frac{5 + 1}{4}}{2} : \frac{2 5 + 5}{4}

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

- sin (3 0^{\circ})

e^{0} cos (0)

arccos (cos (\frac{11 π}{6}))

arcsin (\frac{2}{5})

2 cos (2 π)

What is the value of sin((2pi)/5) ?
The value of sin((2pi)/5) is (sqrt(2)sqrt(5+\sqrt{5)})/4