This document discusses the 6 trigonometric functions (sine, cosine, tangent, cosecant, secant, cotangent) and how to find them for a given triangle. It also covers cofunction properties where complementary angles add up to 90 degrees and how to use trigonometric identities to solve equations. There are examples provided of finding missing sides and angles of triangles and solving for variables using trigonometric functions and identities.

1. The 6 Trigonometric Functions
hyp
opp
sine, cosine, tangent,
ϴ
cosecant, secant, and cotangent adj

2. Ex. 1) Find the 6 trig
functions for the
triangle. 4
ϴ
7

3. Ex. 2) Find the missing sides and angles.
12
o
42

4. Ex. 3) Find the missing sides and angles.
7
o
18

5. Ex. 4) Solve for x.
o
x
8
5

6. Ex. 5) Solve for x.
o
x
14
7

7. Cofunction Properties:
Notice:
o
Two angles that are complementary add to 90 .
The cofunctions work like this:

8. Other Important Identities

9. Ex. 6) Given the information below, find the following.

10. Ex. 7) Given the information below, find the following.

11. Ex. 8) Use trigonometric identities to transform
the left side of the equation into the right side.

12. Assignment:
4.3 p. 308 #1, 5, 9, 10, 18-26
(even), 29, 30, 33-41 (odd), 45,
48, 54-58 (even)