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## PowerPoint Slideshow about ' Reference Angles' - ashtyn

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What is a Reference Angle?

- For any given angle, its reference angle is an acute version of that angle
- The values for the Trig. Functions of any angle are the SAME as the values of those functions for its reference angle (give or take a minus sign)

How to find a Reference Angle:

- For any angle in Standard Position, the reference angle is the smallest angle that can be created between the terminal side and the x-axis.

How to find a Reference Angle:

1.) You must begin with an angle between

0⁰ and 360⁰.

- If the given angle is not between 0⁰ and

360⁰, then you must find a coterminal

angle that is.

How to find a Reference Angle:

2.) Determine in which quadrant the terminal side for the angle is located.

- 0⁰ to 90⁰: Quadrant 1

- 90⁰ to 180⁰: Quadrant 2

- 180⁰ to 270⁰: Quadrant 3

- 270⁰ to 360⁰: Quadrant 4

How to find a Reference Angle:

3.) Apply the proper formula to calculate the reference angle.

- Quadrant 1: Do nothing

- Quadrant 2: 180⁰ – θ

- Quadrant 3: θ – 180⁰

- Quadrant 4: 360⁰ – θ

Example:

θ = 495⁰

Practice 1:

θ = – 275⁰

Practice 2:

θ = 452⁰

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