3.05 Coterminal & Reference Angles Unit 3: Trig Date: 10-20-2016 October 20, 2016 Lesson 3.05- Coterminal & Reference Angles Aim: I can determine the the reference angle given a trig function OCW: Deltamath due Wednesday 10-16 @4pm Get Ready: Use your "spinner" to answer the following questions and the fact that on the unit circle (x,y) correspond to (cosθ, sinθ): a.) What is the ratio for cos(135o)? b.) What is the ratio for sin(240o)? 1 3.05 Coterminal & Reference Angles Unit 3: Trig Date: 10-20-2016 October 20, 2016 Lesson 3.05- Coterminal & Reference Angles Aim: I can determine the the reference angle given a trig function OCW: Deltamath due Wednesday 10-16 @4pm Check Yo Self 2 3.05 Coterminal & Reference Angles October 20, 2016 3 3.05 Coterminal & Reference Angles Unit 3: Trig Date: 10-20-2016 1 0 October 20, 2016 Lesson 3.05- Coterminal & Reference Angles Aim: I can determine the the reference angle given a trig function OCW: Deltamath due Wednesday 10-16 @4pm Consider the following 0 1 4 3.05 Coterminal & Reference Angles October 20, 2016 Plate Spinner 0o sin( )=√ 2 cos( )=√ 2 5 3.05 Coterminal & Reference Angles Sine and cosine of 45 degrees October 20, 2016 Plate Spinner 0o sin(45) = √ 2 cos(45)= √ 2 6 3.05 Coterminal & Reference Angles Sine and cosine of 30 degrees October 20, 2016 Plate Spinner 0o sin(30) = √ 2 cos(30) = √ 2 7 3.05 Coterminal & Reference Angles Sine and cosine of 60 degrees October 20, 2016 Plate Spinner 0o sin(60) = √3 2 cos(60) = √ 2 8 3.05 Coterminal & Reference Angles Sine and cosine of 0 degrees October 20, 2016 Plate Spinner 0o sin(0) = √ 2 cos(0) = √ 2 9 3.05 Coterminal & Reference Angles Sine and cosine of 90 degrees October 20, 2016 Plate Spinner 0o sin(90) = √ 2 cos(90) = √ 2 10 3.05 Coterminal & Reference Angles Unit 3: Trig Date: 10-20-2016 October 20, 2016 Lesson 3.05- Coterminal & Reference Angles Aim: I can determine the the reference angle given a trig function OCW: Deltamath due Wednesday 10-16 @4pm + Rotation=CCW - Rotation = CW 2 or more angles that an acute angle share the same terminal between side their measures differ by multiples of 360o terminal side AND X-axis 11 3.05 Coterminal & Reference Angles Unit 3: Trig Date: 10-20-2016 October 20, 2016 Lesson 3.05- Coterminal & Reference Angles Aim: I can determine the the reference angle given a trig function OCW: Deltamath due Wednesday 10-16 @4pm 12 3.05 Coterminal & Reference Angles Unit 3: Trig Date: 10-19-2016 October 20, 2016 Lesson 3.05- Coterminal & Reference Angles Aim: I can determine the the reference angle given a trig function OCW: Deltamath due Wednesday 10-16 @4pm 13 3.05 Coterminal & Reference Angles Unit 3: Trig Date: 10-19-2016 October 20, 2016 Lesson 3.05- Coterminal & Reference Angles Aim: I can determine the the reference angle given a trig function OCW: Deltamath due Wednesday 10-16 @4pm Workshop:ReferenceAnglesForeachtrigfunc/ondeterminethequadranttheangleisin, thereferenceangleandwhetherthetrigonometricfunc/onra/oisposi/veornega/ve 14 3.05 Coterminal & Reference Angles October 20, 2016 15
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