Why do sine and cosine appear in load flow studies?

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rizwanibn
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Hello...

Can anyone tell me how sine and cosine came in ,above .(To the last of the attachment pic)

Thank you.
 

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A angle T is A cos T + A sin T. In other words, things at an angle have sin and cos components. Complex power is about "real and imaginary" (I hate those terms) components. I'd rather say that complex power is about 2 dimensional vectors with sin and cos components.
 
Is there an 'i' with that?!

Like
A<T = AcosT + iAsinT

And isn't this equal to Ae^(iT) ??!
 
yeah
rectangular and exponential notation of complex numbers.