If z = reiΘ , then the value of |eiz| is equal to-\te-rcosΘ\tercosΘ\te-rsinΘ\tersinΘPlease answer quick....
Mohit Soni , 7 Years ago
Grade 11
Algebra> If z = re iΘ , then the value of |e iz | ...
1 Answers
Arun
Last Activity: 7 Years ago
Dear Mohit
I have written theta as @ because of simplicity in writing.
e^i(re^i@)
= e ^i(r cos@ + i sin@)
= e ^ (i r cos@ - sin@)
= e ^-sin@ * e^i r cos@
Now |e^iz| = e^-sin@ * |e^i r cos@|
= e-sin @ (because |ei r cos@| = 1)
Hence option C is correct.
Regards
Arun (askIITians forum expert)
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