3. sketching principal coterminal reference anglesnov 25 ... · 3. sketching principal coterminal...

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3. Sketching Principal Coterminal Reference anglesNov 25.notebook 1 November 25, 2015 Sketching Angles and the Cartesian Plane 6 5 4 3 2 1 0 1 2 3 4 5 6 6 5 4 3 2 1 1 2 3 4 5 6 x y Principal Angle angle formed from Initial Arm to terminal arm Note: Note: All angles start on initial arm. Positive angles go counterclockwise from inital arm. Coterminal Angles an angle that results in the same terminal arm of some Principal Angle as a result your trig properties will be the same. Sketch and determine two coterminal angles given: A) B) 6 5 4 3 2 1 0 1 2 3 4 5 6 6 5 4 3 2 1 1 2 3 4 5 6 x y 6 5 4 3 2 1 0 1 2 3 4 5 6 6 5 4 3 2 1 1 2 3 4 5 6 x y

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Page 1: 3. Sketching Principal Coterminal Reference anglesNov 25 ... · 3. Sketching Principal Coterminal Reference anglesNov 25.notebook Subject: SMART Board Interactive Whiteboard Notes

3. Sketching Principal Coterminal Reference anglesNov 25.notebook

1

November 25, 2015Sketching Angles and the Cartesian Plane

­6 ­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5 6

­6

­5

­4

­3

­2

­1

1

2

3

4

5

6

x

y

Principal Angle­ angle formed from Initial Arm to terminal arm 

Note:

Note: All angles start on initial arm.  Positive angles go 

counter­clockwise from inital arm.

Coterminal Angles­

an angle that results in the same terminal arm of some Principal Angle as a result your trig properties will be the same.

Sketch and determine two coterminal angles given:

A)

B)

­6 ­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5 6

­6

­5

­4

­3

­2

­1

1

2

3

4

5

6

x

y

­6 ­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5 6

­6

­5

­4

­3

­2

­1

1

2

3

4

5

6

x

y

Page 2: 3. Sketching Principal Coterminal Reference anglesNov 25 ... · 3. Sketching Principal Coterminal Reference anglesNov 25.notebook Subject: SMART Board Interactive Whiteboard Notes

3. Sketching Principal Coterminal Reference anglesNov 25.notebook

2

November 25, 2015The reference angle= When determining trig values, thereference angle not principal angle determines how you 

label your triangle

Sketch angle and determine the "reference" angle.

A)

B)

­6 ­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5 6

­6

­5

­4

­3

­2

­1

1

2

3

4

5

6

x

y

Reference

Angles &

Quadrants

Homework:

Worksheets

Coterminal Angles

Angle Measure