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from complex numbers.QUESTION:\n{1+Cos pi/8 + iSin pi/8}/ {1 + Cos pi/8 - iSin pi/8} whole raise to power 8 is equal to?please explain.\nthank you :)

RAJAT CHHABRA , 10 Years ago
Grade 12th pass
anser 2 Answers
Rinkoo Gupta

Last Activity: 10 Years ago

{1+cos pi/8 +isin pi/8}/{1+cos pi/8 -isin pi/8}

={2cos^pi/16+i2sinpi/16cospi/16}/2cos^2pi/16-i2sinpi/16cospi/16}
={2cospi/16(cospi/16+isinpi/16)}/{2cospi/16(cospi/16-isinpi/16)}
=e^ipi/16/e^-ipi/16=e^ipi/8
hence solution will be {e^ipi/8)^8=e^ipi=cospi+isinpi=-1
Thanks & Regards
Rinkoo Gupta
AskIITians Faculty

RAJAT CHHABRA

Last Activity: 10 Years ago

wow! that was easy! wud have done that.! anyways thanks :)

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