1. 9.6 Modeling with Trigonometric Functions

2. FREQUENCY

3. Example 1

4. Writing Trigonometric Functions

5. Example 2

6. Example 3

7. Using Technology to Find Trigonometric Models

8. Performing sinusoidal regression
Step 1: Create scatter plot using data
Step 2: Go to STAT and go to CALC. Scroll down until you find SinReg and hit ENTER.
Step 3: Calculate!!

9. Example 4 Step 1: Create scatter plot with data2 3 4 5 6 N
9.68
10.75
11.93
13.27
14.38
14.98 t 7 8 9 10 11 12 N
14.70
13.73
12.45
11.17
9.98
9.38
Step 1: Create scatter plot with data
Step 2: Scatter plot appears sinusoidal so perform sinusoidal regression
More instructions are on the next slide
Step 3: Graph data and model in same viewing window to check

10. To get the graph going through the scatter plot:
1. Make sure your calculator is in RADIANS mode.
Click mode button, look for RADIANS
2. Press STAT, then CALC
3. Scroll down to SinReg, press enter
4. Go to Store Reg EQ:
Press VARS button (next to clear button)
5. Go to Y-VARS, then FUNCTION, then Y1
6. Calculate
7.Graph (make sure you’re on zoomStat)