Presentation is loading. Please wait.

Presentation is loading. Please wait.

12.7 Graphing Trigonometric Functions Day 1: Sine and Cosine.

Similar presentations


Presentation on theme: "12.7 Graphing Trigonometric Functions Day 1: Sine and Cosine."— Presentation transcript:

1 12.7 Graphing Trigonometric Functions Day 1: Sine and Cosine

2 Graph the following in your calculator. Find the period and minimum and maximum values for each function. 1. f(θ) = sin θ 2. f(θ) = cos θ

3 The amplitude of the graph of sine and cosine functions equals half The difference between the maximum and the minimum values.

4 Finding Amplitude and Period Example 1a

5 Example 1b

6 Example 2

7 Example 3

8 Applications

9 Example 4 Humans can hear sounds with a frequency of 40 Hz. Find the period of the function that models the sound waves. Let the amplitude equal 1 unit. Write a sine equation to represent the sound wave y as a function of time t.

10 Example 5 The bass tuba can produce sounds with as low a frequency as 50 Hz. Find the period of the function that models the sound waves. Let the amplitude equal 2 unit. Determine the correct cosine equation to represent the sound wave y as a function of time t.


Download ppt "12.7 Graphing Trigonometric Functions Day 1: Sine and Cosine."

Similar presentations


Ads by Google