1. pencil, red pen, highlighter, calculator, notebook
U8D5
Have out:
pencil, red pen, highlighter, calculator, notebook
Bellwork:
1. Convert each degree to radians.
a) 280o +2
b) -330o +2
2. Convert each radian to degrees. a)
= 144o +2 b)
= –40o +2
3. Determine the lengths of all sides. Give the exact answers! a) b)
30° 1
60°
45° 1
total:

2. Bellwork:
3. Determine the lengths of all sides. Give the exact answers! a) b)
30° 1
60°
45° 1
30° – 60° – 90° 
SL: n =
LL: n =
Hyp: 2n = +1
45° – 45° – 90° 
leg: n =
Hyp: = +1 +1 +1 +1 +1
1 u +1
1 u +1 +1
+1 work
total:

3.  COTERMINAL angles share their terminal side.
120° x
For example, 120° is coterminal with –240°.
–240°
What else is coterminal with 120o?
120o
480o
840o
+ 360o
+ 360o
+ 360o
480o
840o
1200o
See a pattern?
Just spin around the circle by adding (or subtracting) 360o.

4. Practice #1: For each angle,
(i) Draw a sketch.
(ii) Find a coterminal angle, and show it in the sketch.
Remember: _________________
add or subtract 360. 1) 2) 3) y y y
30o x x x
–80o
–260o
100o
–330o
280o
–360o
+360o
–360o
–260o
30o
–80o
or 640o
or 460o
or –690o

5. Practice #1: For each angle,
(i) Draw a sketch.
(ii) Find a coterminal angle, and show it in the sketch. 4) 5) 6) y y y
320o
180o x x x
–216o
–40o
–180o
144o
+360o
+360o
–360o
320o
180o
–216o
or –540o
or 504o
–400o

6. Practice #2: For each angle,
(i) Draw a sketch.
(ii) Find a coterminal angle, and show it in the sketch.
Remember: _________________
add or subtract 2π. 2) 3) 1) y y y x x x

7. Practice #3: For each sketch, determine θ
Practice #3: For each sketch, determine θ. (Make sure your calculator is in degree mode!) y y 1) 2) 5 5
Chose the trig ratio with the positive fraction x x 4 -3

8. Practice #3: For each sketch, determine θ
Practice #3: For each sketch, determine θ. (Make sure your calculator is in degree mode!) y y 3) 4) –4 x 6 x –7 –3

9. Practice #4: Determine in which quadrant each angle lies
Practice #4: Determine in which quadrant each angle lies. Then find sinθ, cosθ, and tanθ. (Use your calculator!)
1) θ = 134°
Quadrant: ____
sinθ = _____
cosθ = _____
tanθ = _____
2) θ = 85°
Quadrant: ____
sinθ = _____
cosθ = _____
tanθ = _____
Conclusion: Which ones are positive in each quadrant? For example, all of them are positive in Quadrant I. Label the rest. II I
0.72
0.996
-0.69
0.09
-1.04
11.43 y
ALL
______ x II
III IV I
3) θ = 250°
Quadrant: ____
sinθ = _____
cosθ = _____
tanθ = _____
4) θ = 317°
Quadrant: ____
sinθ = _____
cosθ = _____
tanθ = _____
III IV
-0.94
-0.68
-0.34
0.73
2.75
-0.93

10. Let’s come up with a method for remembering this.y
ALL
______ x II
III IV I
Let’s come up with a method for remembering this.
Base it on this:
A S T C
What words can we use to remember this?

11. Practice #5: The given point is on the terminal side of θ.
Complete the following:
Example: (3, –4)
Plot the point.
Show θ and α.
Draw the reference triangle
Label x, y, and r.
Determine sinθ, cosθ, and tanθ.
Approximate θ. y
x = 3 x
y = –4
r = 5
Pythagorean Triplet:
3, 4, 5

12. Practice #5: The given point is on the terminal side of θ.
Complete the following:
Example: (3, –4)
(v) Determine sinθ, cosθ, and tanθ. y
x = 3 x
(vi) Approximate θ.
y = –4
Why use cosine?
r = 5
It’s positive in quadrant IV.

13. Unit Circle Quiz tomorrow!
Complete the rest of the worksheets.
Reminder:
Unit Circle Quiz tomorrow!