1. pencil, red pen, highlighter, calculator, notebook
U8D11
pencil, red pen, highlighter, calculator, notebook
Have out:
Bellwork
Find the θ without a calculator on the domain 0 ≤ θ < 2π. Include a sketch of θ. b) a)
total:

2. Find the θ without a calculator on the domain 0 ≤ θ < 2π.
Sine is positive in QI and QII. a)
reference angle π 3
+2 sketch
α = 60° =
θ = π 3 +2
30°
60° 1
θ = π – α
θ = π – π 3
60˚
60˚
θ = 2π 3 +2

3. Find the θ without a calculator on the domain 0 ≤ θ < 2π.b)
Tangent is positive in QI and QIII.
reference angle
x = y
+2 sketch π 4
α = 45° =
45° 1
θ = π 4 +2
θ = π + α
45˚
θ = π + π 6
45˚
θ = 5π 4 +2
total:

4. Summary: Unit Circle
If the length of the hypotenuse is 1 unit, then find the lengths of the other sides. Label the triangle on the left in degrees, and label the triangle on the right in radians.
30°–60°–90° Δ 1 1
60˚
30˚

5. Day 9 Summary: Unit Circle
If the length of the hypotenuse is 1 unit, then find the lengths of the other sides. Label the triangle on the left in degrees, and label the triangle on the right in radians.
45°–45°–90° Δ
45˚ 1 1
45˚

6. 1. On the unit circle, label the degree and the radian measure for the indicated four angles that are multiples of Draw in the reference triangles, and label the sides with the appropriate values. y
150°
30° x
210°
330°

7. 2. On the unit circle, label the degree and the radian measure for the indicated four angles that are multiples of Draw in the reference triangles, and label the sides with the appropriate values. y x
120°
60°
240°
300°

8. 3. On the unit circle, label the degree and the radian measure for the indicated four angles that are multiples of Draw in the reference triangles, and label the sides with the appropriate values. y x
135°
45°
225°
315°

9. Put it all together:
(0, 1)
( , )
cosθ
sinθ y
90°
120°
60°
135°
45°
30°
150°
(1, 0)
(–1, 0) π
180° 0° x
330°
210°
225°
315°
240°
300°
270°
(0, –1)

10. Complete today’s worksheets.

11. It’s time to grade the STT!!!
Clear your desk except for a red pen.