write-to-geometry-form-3-5-4-5-i-help-plz-

Question Number 22769 by Bruce Lee last updated on 22/Oct/17

write to geometry form

\frac{3}{5} + \frac{4}{5} i

help plz

Answered by $@ty@m last updated on 22/Oct/17

L e t \frac{3}{5} + \frac{4}{5} i = r \cos θ + i . r \sin θ

\Rightarrow r \cos θ = \frac{3}{5} & r \sin θ = \frac{4}{5}

\Rightarrow r = 1 & θ = \tan^{- 1} \frac{4}{3}

∴ \frac{3}{5} + \frac{4}{5} i = \cos θ + i . \sin θ

w h e r e θ = \tan^{- 1} \frac{4}{3}

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