PPT-4.4 Graphs of Sine and Cosine: Sinusoids

By the end of today you should be able to Graph the sine and cosine functions Find the amplitude period and frequency of a function Model Periodic behavior with sinusoids Unit Circle The Sine Function y . By the end of today, you should be able to:. Graph the sine and cosine functions. Find the amplitude, period, and frequency of a function. Model Periodic behavior with sinusoids. Unit Circle. The Sine Function: y = . Perform the calculation and express the answer with the correct number of significant digits. . . 1.24g + 6.4g + 5.1g. Answer:. 12.7g. Lesson 118:. Sine, Cosine, Tangent. In lesson 112, we practiced finding the ratios of lengths of sides of right triangles. These ratios have special names. .   To find out how high . Juanisha. climbed . up stairs, . you need to know more about the relationship between the ratios of the sides of a right triangle and the slope angle. .. Use . two different strategies to determine . 06.10.2011. 2.2. . Sinusoids. A sinusoids is signal that has the form of the . sine. or . cosine. function.. Consider the sinusoidal voltage.. 2.2. . Sinusoids. as a . function. of . ω. t. as a . The lessons took a lot longer than anticipated due to gap filling and teaching similarity before this started. Feedback and assessment from students was positive. They said they never understood what sin, cos and tan represented (‘it was a button on the calculator that worked . And Visa Versa. . Suppose: v. 1. (t) = 1V sin (. w. t). . v. 2. (t) = 1V . cos. (. w. t). The sine wave reaches its maximum when . w. t = 90. o. , but the cosine reaches its maximum when . w. t = 0. Sinusoidal Graphs. Sinusoidal Graphs. Periodic Function. Graphs of sine and cosine functions.. Functions whose graphs have a repeating pattern.. Period. The horizontal length of each cycle in a periodic graph.. Dr. Shildneck. Fall. Transformations. When writing an equation for a graph, you must recall the general form of the equations:. – indicates the stretch factor/amplitude (and vertical reflection if negative). Graphing Sine and Cosine Keeper 13 Accelerated Pre-Calculus Properties of Sine and Cosine General Forms of Sine and Cosine Functions Where a, b, c, and d are constants and neither a nor b is transformations of these graphs. LO: SWBAT state the transformations of the sine and cosine. Graphs in words.. CO: SWBAT generate the graphs of the sine and cosine functions and explore various . transformations of these graphs. LO: SWBAT state the transformations of the sine and cosine. Lesson 6.1 – Functions that model a vibrating spring, an electrical current, and the horizontal range of a kicked soccer ball involve the two most important trigonometric functions. In the unit c CORE MATHEMATICS CURRICULUM M2 Lesson 26 GEOMETRY Lesson 26 : The Definition of Sine, Cosine, and Tangent 404 Thi s work is derived from Eureka Math ▬ and licensed by G reat Minds. Using the basic sine sin()yABxC or cos()yABxC 1. Identify _____,_____,_____ABC=== Find the Amplitude: A 3. Find the Period: 2 B Find the “increment”: Period Find the Phas Using the basic sine sinyABxC or cosyABxC1 Identify ABCFind the Amplitude A3 Find the Period 2BFind the 147increment148 PeriodFind the Phase Shift CB remember that this is the 1x ke