1. 4.8 Applications and Models
Real world applications

2. Solving a right triangle
Label the given sides and angles using A, B, C for the angles and a, b, c for the sides.
Use trig ratios to solve for all missing sides and angles
When given one angle, subtract from 90 to find the third angle

3. Right triangle applications

4. Trigonometry and bearings
Used in surveying and navigation
Bearing- the acute angle a path or line of sight makes with a fixed north-south line N
N 80° W
80° E W
35°
S 35°E S

5. Harmonic Motion
Assumes ideal conditions; perfect elasticity, no friction, no air resistance, and uniform motion
Max positive
displacement
Equilibrium
Max negative
displacement

6. Simple Harmonic Motion
The distance d from the origin at a time t
d=a sin kt or d=a cos kt
Where k and a are real numbers such that k>0.
The motion has amplitude |a|, period 2π/k and frequency k/(2π)