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9 Questions around this concept.
In polar form, we represent the complex number through the argument and modulus value of complex numbers.
Let z = x + iy be a complex number,
And we know that
And let arg(z) = θ
From the figure, x = |z| cos(θ) = r cos(θ)
and y = |z| sin(θ) = r sin(θ)
So, z = x + iy = r cos(θ) + i.r sin(θ) = r ( cos(θ) + i.sin(θ))
This form is called polar form with ? = principal value of arg(z) and r = |z|.
For general values of the argument
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