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Plz Answer the question which is in attached img with proper detailes...

Plz
Answer the  question which is in attached img with proper detailes... 

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Grade:11

1 Answers

Arun
25750 Points
5 years ago
Dear student
 
Z = 1 - sina + i cos a
 
Arg z = tan^-1 ( cos a / 1 - sina)
 
 = Tan^-1 (1 + sina / cos a)
 
 = Tan ^-1 ( sin a/2 + cos a/2  /(cosa/2 - sina/2))
 
 = Tan^-1 ( tan (pi/4 + a/2))
 
 = Pi/4 + a/2
 
Now
 
|Z| = sqrt ( 1 + sin² a - 2 sina + cos²a) 
 
 = sqrt ( 2 - 2sina)
 

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