Question

Find modulus and principle argument of compiles numbers Z=5/2(cos300+isin300)

Answer 1

`z = (5)/(2)(\cos(300) + i\sin(300)) = (5)/(2)((1)/(2) - i(√(3))/(2))\\|z| = \sqrt{((5)/(4))^2 + ((5√(3))/(4))^2} = \sqrt{(25)/(16) + (75)/(16)} = \sqrt{(100)/(16)} = (10)/(4) = (5)/(2)`