Warm Up 1. Is the sine graph even or odd? 2. Is the cosine graph even or odd? 3. Sine has what kind of symmetry? 4. Cosine has what kind of symmetry? What.

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Warm Up 1. Is the sine graph even or odd? 2. Is the cosine graph even or odd? 3. Sine has what kind of symmetry? 4. Cosine has what kind of symmetry? What is the period for sine and cosine?

Math IV Lesson 27 Essential Question: How are y = A sin(BѲ)+D and y = A cos(BѲ) + D graphed? Standards: MM4A3. Students will investigate and use the graphs of the six trigonometric functions. a. Understand and apply the six basic trigonometric functions as functions of real numbers. b. Determine the characteristics of the graphs of the six basic trigonometric functions. c. Graph transformations of trigonometric functions including changing period, amplitude, phase shift, and vertical shift. d. Apply graphs of trigonometric functions in realistic contexts involving periodic phenomena.

A sin(BѲ)+D A cos(BѲ)+D |A| = amplitude Formula for period of sine and cosine is 2∏/B D will move your graph up or down- do this last

Graph the following: y = -3cos(Ѳ) +5

Graph y = 2cos(x) – 3

Heroic Quest 1. Graph f( θ ) = sin( θ ) 2. Sine is an (even/odd) function circle one 3. Sine has (y-axis/ origin symmetry) --- circle one 4. What is the amplitude of sine? 5. What is the period of sine?

 Graph the following functions, and state the domain, range, period, and amplitude  Y = -3sin(x) +2  Y = 2cos(2x)