SOLUTION: express the ff. in a+ib form 2ie^i3pie/4

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Question 1178083: express the ff. in a+ib form
2ie^i3pie/4
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
Use Euler's formula: e%5E%28i%2Atheta%29=cos%28theta%29%2Bi%2Asin%28theta%29 and i%5E2=-1

matrix%282%2C1%2C%22%22%2C2i%2Ae%5E%28i%2Aexpr%283pi%2F4%29%29%29matrix%282%2C1%2C%22%22%2C%22%22=%22%22%29matrix%282%2C1%2C%22%22%2C2i%2A%28cos%283pi%2F4%29%5E%22%22%2Bi%2Asin%283pi%2F4%29%29%29matrix%282%2C1%2C%22%22%2C%22%22=%22%22%29matrix%282%2C1%2C%22%22%2C2i%2A%28-sqrt%282%29%2F2%2Bi%2A%28sqrt%282%29%2F2%29%29%29matrix%282%2C1%2C%22%22%2C%22%22=%22%22%29

matrix%282%2C1%2C%22%22%2Ci%2A%28-sqrt%282%29%29%2Bi%5E2%2A%28sqrt%282%29%29%29%29matrix%282%2C1%2C%22%22%2C%22%22=%22%22%29matrix%282%2C1%2C%22%22%2C-i%2Asqrt%282%29%2B%28-1%29%28sqrt%282%29%29%29%29matrix%282%2C1%2C%22%22%2C%22%22=%22%22%29matrix%282%2C1%2C%22%22%2C-i%2Asqrt%282%29-sqrt%282%29%29%29matrix%282%2C1%2C%22%22%2C%22%22=%22%22%29matrix%282%2C1%2C%22%22%2C-sqrt%282%29-i%2Asqrt%282%29%29%29

Edwin