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