reference angles
Download
Skip this Video
Download Presentation
Reference Angles

Loading in 2 Seconds...

play fullscreen
1 / 9

Reference Angles - PowerPoint PPT Presentation


  • 128 Views
  • Uploaded on

Reference Angles. 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).

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about ' Reference Angles' - ashtyn


An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
what is a reference angle
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
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 angle1
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 angle2
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 angle3
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
Example:

θ = 495⁰

practice 1
Practice 1:

θ = – 275⁰

practice 2
Practice 2:

θ = 452⁰

ad