2.5 Cont.
Warm-up (IN)
Learning Objective: To know the domain and range of the trig functions, and to use the Even-Odd Properties to find the Exact values of the Trig functions.
1. Find the exact value of the 6 trig functions, given is on the unit circle.
2. Find the exact value of the 6 trig functions, given P(4,-3) is on the circle
3. Find the exact value of
2
2,
2
2P
2
2sin t
2
2cos t 1tan t 2csc t 2sec t 1cot t
222 ryx
5
3sin t
5
4cos t
4
3tan t
3
5csc t 4
5sec t
3
4cot t
540sec a.6
19an b.
t
1 3
3
Even-Odd Functions
sin -sin
cos cos
tan - tan
csc -csc
sec sec
cot cot
Odd
Even
Odd
Ex 1 – Find the exact value:
a. sin 45 sin 45 2
2
b. cos cos 13
c. cot2
3
cot2
0
37d. tan
4
37
tan4
1
D:
R:
Domain and Range of 6 trig functions
sin cos tan csc sec cot
( , )P a bgiven
b a b
a1
b1
a
a
b
Except odd multiples of
2
Except int. multiples of
Except odd multiples of
2
Except int. multiples of
1
and
1
y
y
1
and
1
y
y
11 y 11 y
HW – pg. 172 #37-41,47-51,55-57,61-64, 67-72
Out – What is the domain of ?
Summary - Today I learned…
Don’t forget
about POW!!
sec
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Notebook Test
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