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Find the modulus and argument of the fol...

Find the modulus and argument of the following complex number and hence express them in the polar form: `\ sqrt(3)+i`

Text Solution

Verified by Experts

let `z=sqrt3+i`
then, ` |z|=sqrt((sqrt3)^2+(1))=2`
let `theta` be the argument of z and `alpha` be the acute angle given by `tan theta =(|im(z))/(re(z)|`
`tan alpha = 1/sqrt3`
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