Quarter 4 for Dummies Sect. 13.3 Finding reference angles

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Quarter 4 for Dummies Sect. 13.3 Finding reference angles. Audrey Graves and Colton Brown. What is a reference angle?. A reference angle is an acute angle formed by terminal side and the x-axis denoted by Theta Prime. ( ϴ ’). ϴ. ϴ ’. 90 ° to 180 °. - PowerPoint PPT Presentation

Transcript of Quarter 4 for Dummies Sect. 13.3 Finding reference angles

Quarter 4 for Dummies Sect. 13.3 Finding reference angles

Quarter 4 for Dummies

Sect. 13.3Finding reference anglesAudrey Graves and Colton BrownWhat is a reference angle?A reference angle is an acute angle formed by terminal side and the x-axis denoted by Theta Prime. () 90 to 180If your original angle is between 90 degrees and 180 degrees, you take your original angle and subtract that from 180 degrees. DEGREESRADIANS =90 to 180 /2 to = 180- +

ExampleFind if = 120180 - 120 = 60 = (you will always have an acute angle)

Find if = 2/3 - 2/3 = /3 = (if your problems are given to you in radians you must give the answer in radians)

180 to 270If your original angle is between 180 and 270, you subtract 180 from your original angle.DEGREESRADIANS =180 to 270 to 3/2 = - 180 -

ExampleFind if = 210210 - 180 = 30=

Find if = 7/67/6 - = /6 = 270 to 360If the original angle is between 270 to 360, take 360 minus your original angle.DEGREESRADIANS =270 to 3603/2 to 2=360 - 2 -

ExampleFind if = 300360 - 300 = 60 =

Find if = 5/32 - 5/3 = /3 =