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If z = 2 - 2i, find the rotation of z by...

If z = 2 - 2i, find the rotation of z by `theta` radians in the counter clockwise direction about the origin when
` theta = (pi)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
(i) `2sqrt(2)[cos pi/12 + i sin (pi)/12]`
(ii) `2sqrt(2)[cos (5pi)/12 + i sin (5pi)/12]`
(iii) `2sqrt(2)[cos((5pi)/4) + i sin ((5 pi)/4)]`
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