PPT-PreCalc /Trig 4.4a/b CO: SWBAT generate the graphs of the sine and cosine functions and

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. 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 = . Convert 105 degrees to radians. Convert 5. π. /9 to radians. What is the range of the equation y = 2 + 4cos3x?. 7. π. /12. 100 degrees. [-2, 6]. Derivatives of Trigonometric Functions. Lesson 3.5. Objectives. Chapter 3.5. Proving that .  . In section 2.1 you used a table of values approaching 0 from the left and right that . ; but that was not a proof. Because you will need to know this limit (and a related one for cosine), we will begin this section by proving this through geometry. 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 = . Introduction- . Finding lengths. Sin, cos or tan to find lengths?. Finding missing lengths worksheet. Finding the Area of Triangles and Segments. The Sine rule. The Cosine Rule. The Sine and Cosine Rule (quiz and worksheet). Here we show three triangles. Each one is a right triangle, and each one contains a 30° angle.. 4 120 240. 2 60 120. 1. Recall: We’ve defined the sine function in two ways. :. . and. ..  . 2. All the trig functions can also be defined in terms of the . unit circle. (circle with radius 1, centered at the origin. 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.. 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 For Dummies. K.  . Evaluating Trig Functions. Step 1. Find the reference angle and graph it. sin380°. Step one find reference angle and graph.. Take 380-360 to get 20° for reference angle and then step one is complete . 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 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