How to find amplitude sqrt3-i it is from complex number chapter?

Answer 1

You can't find the amplitude of √3 - i. You can find the radius and angle of that expression, applying the Euler's formula.

√3 - i = rcos(θ) + irsin(θ)

Well...

√3 = rcos(θ)

-1 = rsin(θ)

Then:

r = 2, which gives us:

cos(θ) = √(3)/2

sin(θ) = -½

So = -π/6

Therefore, the radius if 2 and the angle is -π/6 radians.

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The amplitude = θ = -π/6