if-Z-cos-isin-prove-that-Z-5-1-Z-2-2isin5-help-me-sir-

Question Number 127558 by mohammad17 last updated on 30/Dec/20

i f Z = c o s θ + i s i n θ p r o v e t h a t

Z^{5} - \frac{1}{Z^{2}} = 2 i s i n 5 θ

h e l p m e s i r

Commented by mohammad17 last updated on 30/Dec/20

?

Commented by MJS_new last updated on 31/Dec/20

z^{5} + \frac{1}{z^{2}} = \cos 5 θ - \cos 2 θ + i (\sin 5 θ + \sin 2 θ)

Answered by mohammad17 last updated on 30/Dec/20

h o w c a n s o l v e t h i s

Answered by Dwaipayan Shikari last updated on 30/Dec/20

z^{5} - z^{- 5} = e^{5 i θ} - e^{- 5 i θ} = 2 i s i n 5 θ

Commented by mohammad17 last updated on 30/Dec/20

p u t s i r h o w b e c a m e z^{- 5} c a n y o u g i v e m e s t e b s

Commented by Dwaipayan Shikari last updated on 30/Dec/20

I t h i n k m i s t a k e i n q u e s t i o n . I t s h o u l d b e z^{- 5} i n s t e a d o f z^{- 2}