9.6 Modeling with Trigonometric Functions

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Presentation transcript:

9.6 Modeling with Trigonometric Functions

FREQUENCY

Example 1

Writing Trigonometric Functions

Example 2

Example 3

Using Technology to Find Trigonometric Models

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!!

Example 4 Step 1: Create scatter plot with data 2 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

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)