What is the value of cos((3pi)/4)+isin((3pi)/4) ?

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

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cos((3pi)/4)+isin((3pi)/4)

cos (\frac{3 π}{4}) + i sin (\frac{3 π}{4})

- \frac{2}{2} + i \frac{2}{2}

Solution steps

cos (\frac{3 π}{4}) + i sin (\frac{3 π}{4})

Use the following trivial identity:

cos (\frac{3 π}{4}) = - \frac{2}{2}

Use the following trivial identity:

sin (\frac{3 π}{4}) = \frac{2}{2}

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

tan (- 0.1)

sin (arcsin (\frac{9}{41}) - arccos (- \frac{4}{5}))

3 tan^{2} (48 0^{\circ})

cos (3.4)

\frac{tan ( 3 0 ^{\circ} ) + tan ( 6 0 ^{\circ} )}{1 - tan ( 3 0 ^{\circ} ) tan ( 6 0 ^{\circ} )}

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