Math Problem Statement

Reference angle for -350

Solution

To find the reference angle for 350-350^\circ, we first need to determine the equivalent positive angle by adding 360360^\circ until the angle is within the range of 00^\circ to 360360^\circ.

Step-by-Step Solution:

  1. Normalize the Angle to 00^\circ to 360360^\circ:

    350+360=10-350^\circ + 360^\circ = 10^\circ

    The equivalent angle within the range of 00^\circ to 360360^\circ is 1010^\circ.

  2. Determine the Reference Angle:

    The reference angle is the acute angle formed with the x-axis. Since 1010^\circ is already between 00^\circ and 9090^\circ, it is in the first quadrant. For angles in the first quadrant, the reference angle is the angle itself.

    Reference angle=10\text{Reference angle} = 10^\circ

Conclusion:

The reference angle for 350-350^\circ is 10\boxed{10^\circ}.

Would you like more details or have any questions about the solution? Here are some related questions:

  1. What is the reference angle for 180-180^\circ?
  2. How do you find the reference angle for angles in different quadrants?
  3. What is the equivalent angle of 700-700^\circ within the range 00^\circ to 360360^\circ?
  4. How is the reference angle used in trigonometry?
  5. What are the steps to find the reference angle of an angle greater than 360360^\circ?

Tip: Remember that a reference angle is always a positive acute angle between 00^\circ and 9090^\circ.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Trigonometry
Angles

Formulas

-

Theorems

Reference angle theorem

Suitable Grade Level

Grades 10-12