answersLogoWhite

0

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.

* * * * *

The amplitude = θ = -π/6

User Avatar

Wiki User

12y ago

Still curious? Ask our experts.

Chat with our AI personalities

CoachCoach
Success isn't just about winning—it's about vision, patience, and playing the long game.
Chat with Coach
ReneRene
Change my mind. I dare you.
Chat with Rene
RafaRafa
There's no fun in playing it safe. Why not try something a little unhinged?
Chat with Rafa

Add your answer:

Earn +20 pts
Q: How to find amplitude sqrt3-i it is from complex number chapter?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Continue Learning about Math & Arithmetic