What is the value of cos((3pi)/4)+i*sin((3pi)/4) ?

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

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cos((3pi)/4)+i*sin((3pi)/4)

cos (\frac{3 π}{4}) + i \cdot 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}

cos^{3} (9 0^{\circ})

4 + \frac{3 2}{2} cos (\frac{3 π}{4})

\frac{1}{cos ^{2} ( \frac{π}{3} )}

arccos (\frac{5}{9 14})

cos (- 5 0^{\circ})

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