1. 6.2: Right angle trigonometry
January 6, 2009

2. Objectives Learn basic concepts about trigonometric functions
Apply right triangle trigonometry
Understand complementary angles and cofunctions.

3. Basics of Trigonometry Functions
sin θ = O/H
cos θ = A/H
tan θ = O/A
csc θ = H/O
sec θ = H/A
cot θ = A/O

4. Solving a triangle Remember the Pythagorean theorem?
If a= 5 and c= 10, what is b?

5. Finding missing angles
c=17, a=8 What is sin θ? ..cos θ? …tan θ?

6. Finding missing sides
c=10, β=60°
How long is b?

7. Complementary angles and cofunctions
A and B are complementary. sin A= cos A= tan A= cot A= sec A= csc A=

8. Trig functions of a 45-45-90 triangle
Sin 45
Csc 45
Cos 45
Sec 45
Tan 45
Cot 45

9. Trig functions of a 30-60-90 triangleθ
Sin θ
Cos θ
Tan θ
Csc θ
Sec θ
Cot θ
30°
60°

10. Assignment