What is the value of cos((2pi)/5)+isin((2pi)/5) ?

The value of cos((2pi)/5)+isin((2pi)/5) is (sqrt(2)sqrt(3-\sqrt{5)})/4+i(sqrt(2)sqrt(5+\sqrt{5)})/4

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cos((2pi)/5)+isin((2pi)/5)

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

\frac{2 3 - 5}{4} + i \frac{2 5 + 5}{4}

Solution steps

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

Rewrite using trig identities:

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

Rewrite using trig identities:

sin (\frac{2 π}{5}) = \frac{2 5 + 5}{4}

= \frac{2 3 - 5}{4} + i \frac{2 5 + 5}{4}

\frac{3 sin ( 4 0 ^{\circ} )}{2}

30 tan (6 0^{\circ})

- 48 π (2 e^{iπ} \frac{sin ( 6 0 ^{\circ} )}{60})

sin (- 7 0^{\circ})

tan (\frac{- 19 π}{6})

What is the value of cos((2pi)/5)+isin((2pi)/5) ?
The value of cos((2pi)/5)+isin((2pi)/5) is (sqrt(2)sqrt(3-\sqrt{5)})/4+i(sqrt(2)sqrt(5+\sqrt{5)})/4