Write down the following complex number in polar form: Product of `2 (cos 30^0+isin 30^0) and 3 (cos 90^0+isin90^0) `

Write down the following complex number in polar form: Quotient of 12(cos150^(@)+i sin150^(@)) and 3(cos60^(@)+i sin60^(@))

Change the following complex numbers to Cartesiasn form: 2(cos0^0+isin0^0)

Change the following complex numbers to Cartesiasn form: 4(cos300^0+isin300^0)

Give the following products in polar form: [2(cos0^0+isin0^0][4(cos90^0+isin90^0)]

Give the following products in polar form: [2(cos 210^0+isin210^0)][4(cos120^0+isin120^0)]

Give the following products in polar form: [3(cos 225^0+i sin225^0)] [6(cos 45^0 + i sin 45^0)]

Give the following quotients in polar form: (9(cos90^0+isin90^0))/(3(cos45^0+isin45^0)

If z=cos30^@+isin30^@ , find z^7

Give the following quotients in polar form: (i) (9(cos90^(@)+isin90^(@)))/(3(cos45^(@)+isin45^(@))) (ii) (7(cos135^(@)+isin135^(@)))/(14(cos90^(@)+isin90^(@))) .

Give the following in polar form: (i) sin120^(@)-icos120^(@) (ii) [2cos210^(@)+isin210^(@))][4(cos120^(@)+isin120^(@))] (iii) [3(cos225^(@)+isin225^(@))][6(cos45^(@)+isin45^(@))] .