To change a complex number from rectangular form (a + bi) to polar form, just follow these easy steps:
Identify the Parts: Look at your complex number. Here, (a) is the real part and (b) is the imaginary part.
For example, if you have (3 + 4i), then (a = 3) and (b = 4).
Find the Magnitude: Calculate the magnitude (r) using this formula:
For our example:
Calculate the Angle: Now, find the angle (\theta) using:
For our example:
Write in Polar Form: Finally, show the complex number in polar form:
So, (3 + 4i) can be written as:
To change a complex number from rectangular form (a + bi) to polar form, just follow these easy steps:
Identify the Parts: Look at your complex number. Here, (a) is the real part and (b) is the imaginary part.
For example, if you have (3 + 4i), then (a = 3) and (b = 4).
Find the Magnitude: Calculate the magnitude (r) using this formula:
For our example:
Calculate the Angle: Now, find the angle (\theta) using:
For our example:
Write in Polar Form: Finally, show the complex number in polar form:
So, (3 + 4i) can be written as: