December 10, 2014
Test Review Outline: Chapter 4
Section 4.1
1. Convert
radians to degrees.
2. Convert degrees 78° to radians.
Section 4.2
1. Evaluate trig functions for a given right ∆.
sin θ =
csc θ =
cos θ =
sec θ =
tan θ =
cot θ =
2. Find the exact value of the remaining trig
functions of θ, if tan θ = and sin θ < 0.
3. Find the exact value of the 6 trigonometric
functions of θ, if the terminal side of θ goes
through the point (-2, 5).
4. Solve for x, y, and θ.
θ
x
12
y
41°
1
December 10, 2014
Special Angles
Special Triangles
30° - 60° - 90°
60°
30°
sin 30° =
sin 60° =
cos 30° =
cos 60° =
tan 30° =
tan 60° =
Special Triangles
45° - 45° - 90°
sin 45° =
45°
cos 45° =
tan 45° =
45°
2
December 10, 2014
Section 4.3
Use the unit circle and reference triangles to find
the exact value of each.
1. cos π =
2. tan 1.5π =
(1, 0)
3. sec 225° =
4. sin 11π =
6
5. cot -210° =
5π
=
3
Name 2 positive and 2 negative angles
coterminal to an angle whose measure is
6. csc
3
December 10, 2014
The Unit Circle Definitions of the Trig Functions
Let t be any real number and let P(t) = (x, y) be the
point on the unit circle corresponding to t. Then
for any angle t,
(0, 1)
P(t) = (x, y)
•
(-1, 0)
t
(1, 0)
(0, -1)
4
December 10, 2014
-1
0
1
√3
1
2
1
√2
1
√3
2
√3
DNE
5
December 10, 2014
Graph of y = sin x
Domain:
Period: 2π
Range:
Symmetry: Odd function
6
December 10, 2014
Graph of y = cos x
Domain:
Period: 2π
Range:
Symmetry: Even function
7