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}

sin (\frac{8 π}{7})

arccos (0.93259)

sin (arctan (- \frac{3}{2}))

\frac{6}{tan ( 3 7 ^{\circ} )} + \frac{6}{tan ( 4 7 ^{\circ} )}

arcsin (\frac{2.08}{9.8})

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