Homework 6 – Complex Numbers in Polar Form Name & ID:
Polar → Rectangular Conversion
Suppose we have a complex number expressed in polar form and we want to express it in rectangular form. (That is, we know r and θ and we need a and b.) Referring to the figure we see that we can use the formulas:
Rectangular → Polar Conversion
On the other hand, suppose we have a complex number expressed in rectangular form and we want to express it in polar form. (That is, we know a and b and we need r and θ.) We see that we can use the formulas:
Exercise
Q1. Represent 1+ i3 graphically and write it in polar form.
Q2. Represent 2 − i√2 graphically and write it in polar form.
Q3. Represent graphically and give the rectangular form of 6(cos 180∘ + isin 180∘)
Q4. Represent graphically and give the rectangular form of 7.32∠−270∘
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