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

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

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3sqrt(2)(cos((3pi)/4)+isin((3pi)/4))

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

- 3 + 3 i

Solution steps

32 (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}

= 32 (- \frac{2}{2} + i \frac{2}{2})

Simplify

32 (- \frac{2}{2} + i \frac{2}{2}) : - 3 + 3 i

= - 3 + 3 i

tan (1.25)

\frac{sin ( 57 0 ^{\circ} ) + 2 cos ( 117 0 ^{\circ} )}{cos ( 198 0 ^{\circ} )}

2 cos (- \frac{π}{4}) - (- \frac{π}{4})

arctan (\frac{1}{2}) + arctan (\frac{1}{5}) + arctan (\frac{1}{8})

\frac{3}{sin ( 6 0 ^{\circ} )}

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