Express-the-following-in-a-ib-form-cos-x-isin-x-cos-y-isin-y-cosa-isin-a-cosb-isinb-

Question Number 32159 by rahul 19 last updated on 20/Mar/18

E x p r e s s t h e f o l l o w i n g i n a + i b f o r m :

\frac{(\cos x + i \sin x) (\cos y + i \sin y)}{(c o s a + i \sin a) (c o s b + i s i n b)} .

Commented by abdo imad last updated on 20/Mar/18

E = \frac{e^{i x} e^{i y}}{e^{i a} e^{i b}} = e^{i (x + y)} e^{- i (a + b)} = e^{i (x + y - a - b)}

= c o s (x + y - a - b) + i s i n (x + y - a - b) .

Commented by rahul 19 last updated on 20/Mar/18

t h a n k y o u!

Answered by Tinkutara last updated on 20/Mar/18

= \frac{e^{i x} e^{i y}}{e^{i a} e^{i b}} = e^{i (x + y - a - b)}

= \cos (x + y - a - b) + i \sin (x + y - a - b)

Commented by rahul 19 last updated on 20/Mar/18

t h a n k y o u!