Precalculus : Express Complex Numbers In Rectangular Form

Example Questions

Example Question #1 : Express Complex Numbers In Rectangular Form

Convert the following to rectangular form:

Possible Answers:

Correct answer:

Explanation:

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:

Explanation:

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:

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.

Possible Answers:

Correct answer:

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.

Possible Answers:

Correct answer:

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

Possible Answers:

Correct answer:

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

Possible Answers:

Correct answer:

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

Possible Answers:

Correct answer:

Explanation:

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