# Precalculus : Express Complex Numbers In Rectangular Form

## Example Questions

### Example Question #1 : Express Complex Numbers In Rectangular Form

Convert the following to rectangular form:       Explanation:

Distribute the coefficient 2, and evaluate each term: ### Example Question #2 : Express Complex Numbers In Rectangular Form

Convert the following to rectangular form:       Explanation:

Distribute the coefficient and simplify: ### Example Question #3 : Express Complex Numbers In Rectangular Form

Represent the polar equation: in rectangular form.      Explanation:

Using the general form of a polar equation: we find that the value of is and the value of is .

The rectangular form of the equation appears as , and can be found by finding the trigonometric values of the cosine and sine equations.  distributing the 3, we obtain the final answer of: ### Example Question #4 : Express Complex Numbers In Rectangular Form

Represent the polar equation: in rectangular form.      Explanation:

Using the general form of a polar equation: we find that the value of and the value of . The rectangular form of the equation appears as , and can be found by finding the trigonometric values of the cosine and sine equations.  Distributing the 4, we obtain the final answer of: ### Example Question #5 : Express Complex Numbers In Rectangular Form

Represent the polar equation: in rectangular form.      Explanation:

Using the general form of a polar equation: we find that the value of and the value of . The rectangular form of the equation appears as , and can be found by finding the trigonometric values of the cosine and sine equations.  distributing the 5, we obtain the final answer of: ### Example Question #6 : Express Complex Numbers In Rectangular Form

Convert in rectangular form     Explanation:

To convert, just evaluate the trig ratios and then distribute the radius. ### Example Question #7 : Express Complex Numbers In Rectangular Form

Convert to rectangular form      Explanation:

To convert to rectangular form, just evaluate the trig functions and then distribute the radius: ### Example Question #8 : Express Complex Numbers In Rectangular Form

Convert to rectangular form        