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preethi nair Grade: 12
        

let z = cosa + i  sina, then summation of z 2m-1 from m=1 to 15 at a=2 is what ????


Please give detailed, explained answer.


thank you....

7 years ago

Answers : (2)

piyush garg
9 Points
										

z=e^ia in euler form


Z^(2m-1)=e^(2m-1)i


 summmission of cos(2m-1)a+isin(2m-1)a from m to 1 to 15


cos(1+2....................................29)a+isin (1+2...............................29)a   


cos(225a) +isin(225a)


put a=2


cos(450)+isin(450)


=i ans.


 


 

7 years ago
arpit agrawal
31 Points
										

Z=COSA+i sinA  


=e^iA  (euclid's eq.)


SUMMATION OF Z^2m-1 =   e^(iA)(2*1-1) + it wil form G.P


 


                 ANS ----------(e^2i)(e^60i -1)/(e^4i -1) 

6 years ago
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