a.) What is the ratio for cos(135o)? b.) What is the ratio for sin(240o)?

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