Lesson 2.8.  There are 2  radians in a full rotation -- once around the circle  There are 360° in a full rotation  To convert from degrees to radians.

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Presentation transcript:

Lesson 2.8

 There are 2  radians in a full rotation -- once around the circle  There are 360° in a full rotation  To convert from degrees to radians or radians to degrees, use the proportion ©Carolyn C. Wheater, 20003

4  Find the degree measure equivalent of radians.  Find the radian measure equivalent of 210°

 Reciprocal Identities ©Carolyn C. Wheater,  Quotient Identities

 The angles whose terminal sides fall in quadrants II, III, and IV will have values of sine, cosine and other trig functions which are identical (except for sign) to the values of angles in quadrant I.  The acute angle which produces the same values is called the reference angle. ©Carolyn C. Wheater, 20008

 Use the phrase “All Star Trig Class” to remember the signs of the trig functions in different quadrants. ©Carolyn C. Wheater, All Star TrigClass All functions are positive Sine is positive Tan is positiveCos is positive

 Describe how to obtain the exact values of cos (π/4) and sin(π/4)  Reference angle: 45 so…  Sin (π/4) =  cos(π/4) =

 Find the exact values of cos (5π/6) and sin(5π/6)  150 so Reference angle: 30, quadrant 3  Cos =  Sin = -1/2

 Csc /sin =  Sec (11π/6) Ref. angle: 30, 1/cos =  Cot (3π/4) Ref angle: 45, -cos/sin = = -1

Exact: (cos 47.3, sin 47.3) Hundredth: (.68,.73)

Pages 128 – evens!