Transcript Section 4.4 Trigonometric Functions of Any Angle Example Evaluate the cosine function and the cotangent function at the following four quadrantal angles: a.

Section 4.4
Trigonometric Functions
of Any Angle
Example
Evaluate the cosine function and the cotangent function
at the following four quadrantal angles:
a.  =00  0
b.   90 
0

2
c.  =1800  
3
d.  =270 
2
0
The Signs of the Trigonometric Functions
Example
Name the quadrant in which  lies if the cotangent
is positive and the sine is negative.
Example
4
Given that cot  =
and sin  >0 find the following:
3
sin  =
cos =
sec  =
csc  =
Example
Find the reference angle,  ', for each of the following
angles:
4

3
7

6
 = - 120
Example
Find the reference angle,  ', for each of the following
angles:

7
3
13

6
 = 4050
Example
Use the reference angles to find the exact value of
each of the following trigonometric functions:
4
sin
3
7
cos
6
tan - 120
Example
Use the reference angles to find the exact value of
ech of the following trigonometric functions:
sec
7
3
13
csc
6
cot 4050
0
Find the reference angle for the angle -150
(a) 5100
(b) 2100
(c) 300
(d) 600
Use the reference angle to find the exact value of the
5
following trigonometric function. csc
3
(a) 2  2
1
1
(b) 
2
3
(c)
2
2 3
(d) 
3