### All Precalculus Resources

## Example Questions

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

Convert the following to rectangular form:

**Possible Answers:**

**Correct answer:**

Distribute the coefficient 2, and evaluate each term:

### Example Question #2 : Express Complex Numbers In Rectangular Form

Convert the following to rectangular form:

**Possible Answers:**

**Correct answer:**

Distribute the coefficient and simplify:

### Example Question #3 : Express Complex Numbers In Rectangular Form

Represent the polar equation:

in rectangular form.

**Possible Answers:**

**Correct answer:**

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.

**Possible Answers:**

**Correct answer:**

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.

**Possible Answers:**

**Correct answer:**

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

**Possible Answers:**

**Correct answer:**

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

**Possible Answers:**

**Correct answer:**

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

**Possible Answers:**

**Correct answer:**

To convert, evaluate the trig ratios and then distribute the radius: