1 / 7

13-4: The Sine Function

13-4: The Sine Function. Essential Question:. 13-4: The Sine Function. Recall: the sine of Θ is the y-value where an angle intersects the unit circle. Important things to note: The curve starts at 0 The curve begins going up, and returns to 0 halfway through the cycle (at 180 ˚)

vine
Download Presentation

13-4: The Sine Function

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 13-4: The Sine Function Essential Question:

  2. 13-4: The Sine Function • Recall: the sine of Θ is the y-value where an angle intersects the unit circle. • Important things to note: • The curve starts at 0 • The curve begins going up, and returns to 0 halfway through the cycle (at 180˚) • The curve reaches a maximum of 1 (at 90˚) and a minimum of -1 (at 270˚) 90˚ 0˚ 180˚ 270˚ 360˚

  3. 13-4: The Sine Function • Finding the period of a Sine Curve • Use the graph of y = sin 4Θ below • How many cycles occur in the graph? • 4 • Find the period of y = sin 4Θ • Take the period of the parent function • Divide the interval by the numberof cycles • 2  4 = /2 • Alternately: • Divide the parent period by thenumber in front of the theta • Parent period for sin/cos is 2 2

  4. 13-4: The Sine Function • Find the period of each sine curve below. 2 2 2/3 2

  5. 13-4: The Sine Function • Finding the Amplitude • Same as in Chapter 13-1 • The amplitude is half the difference between the maximum and minimum values of the function. • Find the amplitude of each sine curve below 3 4

  6. 13-4: The Sine Function • Properties of Sine Functions • y = a sin bΘ • |a| is the amplitude • b is the number of cycles from the interval 0 to 2 • 2/b is the period of the function

  7. 13-4: The Sine Function • Assignment • Page 738 – 739 • Problems 1 – 15, 23 - 27 (odds) • For problems 23 – 27, don’t sketch the graph • Instead, tell me the amplitude and period of the function given.

More Related