Question and Answers Forum

All Questions      Topic List

Algebra Questions

Previous in All Question      Next in All Question      

Previous in Algebra      Next in Algebra      

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

$$\mathit{E}xpressthefollowingina+ibform:$$$$\frac{(\cos x+i\sin x)(\cos y+i\sin y)}{(cosa+i\sin a)(cosb+isinb)}.$$

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

$$E=\frac{e^{ix}{e}^{iy}}{e^{ia}{e}^{ib}}=e^{i(x+y)}{e}^{-i(a+b)}=e^{i(x+y-a-b)}$$$$=cos(x+y-a-b)+isin(x+y-a-b).$$

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

$$thankyou!$$

Answered by Tinkutara last updated on 20/Mar/18

$$=\frac{e^{ix}{e}^{iy}}{e^{ia}{e}^{ib}}=e^{i(x+y-a-b)}$$$$=\cos (x+y-a-b)+i\sin (x+y-a-b)$$

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

$$thankyou!$$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com