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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