Polar form of a complex number. If z= x + iy is a complex number. Then z = r ( cosθ + sinθ ) is called polar form or trigonometric form of a complex number.
By comparing real and imaginary parts of a complex number, we get
x = r cosθ (1)
y = r sinθ (2)
By squaring above equations and adding we get
Express in polar form.
With and y = −1 we obtain
which is an angle whose terminal side is in the first quadrant.But
since the point lies in the third quadrant, we take the solution
Therefore, polar form of the number is
Solved Questions of polar form
write the given complex number in polar form first using an argument θ = Arg(z)
5. 1 + i
6. 5 − 5i
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