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Chapter 1.6 Trigonometric Functions. The Unit Circle. Degree/Radian Conversion. To convert a degree measure to radians, multiply by π radians180° To convert a radian measure to degrees, multiply by 180°π radians. Examples. Examples 1) 120 ° 2) -45 ° 3) 5π6 4) -3π2. - PowerPoint PPT Presentation

### Transcript of Chapter 1.6 Trigonometric Functions

Chapter 1.6 Trigonometric Functions

Chapter 1.6 Trigonometric FunctionsThe Unit Circle

Degree/Radian ConversionTo convert a degree measure to radians, multiply by radians180

To convert a radian measure to degrees, multiply by 180 radians

ExamplesExamples 1) 1202) -453) 564) -32

Radian MeasureThe RADIAN MEASURE of the angle ACB at the center of the unit circle equals the length of the arc that ACB cuts from the unit circle. Radius =1

Finding Arc LengthFind the length of an arc on a circle of radius 3 by a central angle of measure 2/3.S = r = 3(2/3) = 2An Angle In Standard Position

When an angle of measure is placed in standard position at the center of a circle of radius r, the six trigonometric functions of are defined as follows:

sin = y/rcsc = r/y

Cos = x/rsec = r/x