Change the following complex numbers to Cartesiasn form: ` 5(cos270^0 + i sin 270^0) `

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)

Write down the following complex number in polar form: Product of 2(cos30^(@)+i sin30^(@)) and 3(cos90^(@)+i sin90^(@))

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

Express the following complex numbers in the form r(cos theta+i sin theta):1+i tan alpha( ii) tan alpha-i

Find polar representation for the following complex numbers: z_(3)=cos a+sin a+i(sin a-cos a),a in sin[0,(pi)/(4)]

Express the following complex numbers in the polar form :(i)-2-2i(ii)sin30^(@)-i cos300^(@)(iii)cos390^(@)-i sin240^(@)(iv)1-cos theta+i sin theta

Represent the following complex numbers in the complex plane: (i) 1+2i (ii) 5+7i (iii) 0+0i (iv) i .

Find the modulus and argument of the following complex number and correct then in polar form: (i-1)/((cos pi)/((cos pi)/(3)+i(sin pi)/(3)))

Write the conjugate of the following complex numbers cos theta+i sin theta