What is the value of cos(pi/(12))+isin(pi/(12)) ?

The value of cos(pi/(12))+isin(pi/(12)) is (sqrt(2)(1+sqrt(3)))/4+i(sqrt(2)(-1+sqrt(3)))/4

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cos(pi/(12))+isin(pi/(12))

cos (\frac{π}{12}) + i sin (\frac{π}{12})

\frac{2 ( 1 + 3 )}{4} + i \frac{2 ( - 1 + 3 )}{4}

Solution steps

cos (\frac{π}{12}) + i sin (\frac{π}{12})

Rewrite using trig identities:

cos (\frac{π}{12}) = \frac{6 + 2}{4}

Rewrite using trig identities:

sin (\frac{π}{12}) = \frac{6 - 2}{4}

= \frac{6 + 2}{4} + i \frac{6 - 2}{4}

Simplify

\frac{6 + 2}{4} + i \frac{6 - 2}{4} : \frac{2 ( 1 + 3 )}{4} + i \frac{2 ( - 1 + 3 )}{4}

= \frac{2 ( 1 + 3 )}{4} + i \frac{2 ( - 1 + 3 )}{4}

sin (\frac{11}{6} π)

arccos (\frac{4}{17})

arcsin (cot (\frac{3 π}{4}))

cos (\frac{2 π}{9})

\frac{tan ( 1 5 ^{\circ} ) + tan ( 1 5 ^{\circ} )}{1 - tan ( 1 5 ^{\circ} ) tan ( 1 5 ^{\circ} )}

What is the value of cos(pi/(12))+isin(pi/(12)) ?
The value of cos(pi/(12))+isin(pi/(12)) is (sqrt(2)(1+sqrt(3)))/4+i(sqrt(2)(-1+sqrt(3)))/4