Find the quotient and write in rectangular form First conver

Find the quotient and write in rectangular form. First convert the numerator and denominator to trigonometric form. 5(cos 200 degree + I sin 200 degree)/4(cos 50 degree + I sin 50 degree)

Solution

48) 5(cos200 +isin200)/4(cos 50 +isin50)

Convert num and den, into polar : 5e^i*200/4e^i*50 = (5/4)e^i150

=(5/4)[cos150 +isin150]

= (5/4)[ -0.866 + i*0.5]

= 1.0825 +i*0.625