how do you convert to polar form?
Vague question.
are you converting an equation or a point with rectangular coordinates?
There are several question of your type in the Related Questions section below
To convert a complex number from rectangular form to polar form, you can follow these steps:
1. Identify the real and imaginary parts of the complex number. Let's say the real part is denoted as "a" and the imaginary part as "b".
2. Determine the magnitude (or modulus) of the complex number using the formula:
magnitude (r) = sqrt(a^2 + b^2)
3. Calculate the angle (or argument) of the complex number using the formula:
angle (θ) = atan(b / a)
4. Express the complex number in polar form, using the magnitude and angle:
polar form = r(cosθ + isinθ)
Here's an example to illustrate the conversion from rectangular to polar form:
Let's say we have a complex number, z = 3 + 4i.
Step 1:
Real part (a) = 3
Imaginary part (b) = 4
Step 2:
Magnitude (r) = sqrt(3^2 + 4^2) = 5
Step 3:
Angle (θ) = atan(4/3) ≈ 0.93 radians
Step 4:
Polar form = 5(cos0.93 + isin0.93)
So, the polar form of the complex number 3 + 4i is 5(cos0.93 + isin0.93).