### All GRE Subject Test: Math Resources

## Example Questions

### Example Question #111 : Algebra

Write the complex number in polar form, that is, in terms of a distance from the origin on the complex plane and an angle from the positive -axis, , measured in radians.

**Possible Answers:**

**Correct answer:**

Explanation:

To see what the polar form of the number is, it helps to draw it on a graph, where the horizontal axis is the imaginary part and the vertical axis the real part. This is called the complex plane.

To find the angle , we can find its supplementary angle and subtract it from radians, so .

Using trigonometric ratios, and .

Then .

To find the distance , we need to find the distance from the origin to the point . Using the Pythagorean Theorem to find the hypotenuse , or .

### All GRE Subject Test: Math Resources

Popular Subjects

GRE Tutoring in Seattle, French Tutoring in Dallas Fort Worth, English Tutoring in Miami, ISEE Tutoring in Philadelphia, Math Tutoring in New York City, ISEE Tutoring in New York City, Algebra Tutoring in San Diego, Spanish Tutoring in Boston, French Tutoring in Phoenix, French Tutoring in Seattle
Popular Courses & Classes

Spanish Courses & Classes in Dallas Fort Worth, ISEE Courses & Classes in San Francisco-Bay Area, ACT Courses & Classes in Phoenix, ACT Courses & Classes in Boston, LSAT Courses & Classes in San Francisco-Bay Area, ISEE Courses & Classes in Chicago, GMAT Courses & Classes in Denver, ISEE Courses & Classes in Denver, GMAT Courses & Classes in Philadelphia, SAT Courses & Classes in San Francisco-Bay Area
Popular Test Prep

ACT Test Prep in Miami, ISEE Test Prep in Washington DC, MCAT Test Prep in Washington DC, MCAT Test Prep in Houston, SSAT Test Prep in Washington DC, SAT Test Prep in Miami, GMAT Test Prep in San Diego, ACT Test Prep in Phoenix, GMAT Test Prep in Philadelphia, MCAT Test Prep in New York City