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Lesson 5.2- Trig Functions of Real Numbers
ANSWERS
Complete the Unit Circle
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PRELesson 5.2: Trig Functions of Real #’s
Objectives:•Compute trig functions given the terminal
point of a real number.•State and apply the reciprocal and
Pythagorean identities of trig functions.
Trig Vocabulary
Trig Vocabulary
Trig Vocabulary
Trig Vocabulary
Trig Vocabulary
All Students Take Calculus
Classwork: Book:416; 3-19 eoo, 23-26 all, 27-35 eoo 63-69 odd
We define cos as the 'x' coordinate.We define sin as the 'y' coordinate.
( , )x y
Ex.1 Find the given Trig Function
17
8
What is the Angle?-Doesn’t matterTo find cosine we will create a right triangle.
2 2 2a b c
22 217 8( ) c
217 64 c 281 c
9 c
9
sin csc
cos sec
tan cot
89
179
178
9 1717
98
8 1717
89
Ex.2 Find all 6 Trig Functions:
, Terminal point of t is in quadrant III.
-we know in QIII:
4cos
5t
( , )
4
5
2 2 2a b c
2 2 2)5(4 b 216 25b 2 9b
3b3
sin csc
cos sec
tan cot
t t
t t
t t
45
35
34
53
54
43
t
Chapter 5
Quiz
will be on this:
Classwork: Book:416; 3-19 eoo, 23-26 all, 27-35 eoo63-69 odd