December 15, 2011
Quiz Outline: Sections 4.1-4.4
Section 4.1
1. Convert
radians to degrees.
2. Convert degrees 78° to radians.
If θ, measured in radians, is a central angle
in a circle of radius r, then the length s of
the intercepted arc is given by s = r θ.
3. Complete the table.
s
r
θ
•
s
•θ
r
•
December 15, 2011
Section 4.2
Let θ be an acute angle in the right ∆ABC
with rt. ∠C. Then
hyp
csc θ = opp
hyp
sec θ = adj
adj
cot θ = opp
opp
sin θ = hyp
adj
cos θ = hyp
opp
tan θ = adj
45°
60°
1
1
2
30°
45°
1
December 15, 2011
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 sec θ, if tan θ =
and sin θ < 0.
3. Solve for x.
x
12
41°
December 15, 2011
Section 4.3
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,
December 15, 2011
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° =
6. csc
5π
=
3
December 15, 2011
Section 4.4
Graph of y = sin x
Domain:
Period: 2π
Range:
Symmetry: Odd function
December 15, 2011
Graph of y = cos x
Domain:
Period: 2π
Range:
Symmetry: Even function