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**Warm Up Jan. 24th Graph the following: f(x) = -2 + sin3x**

g(x) = 2cos(x – ) + 1

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**Sum & Difference of Sine & Cosine Graphs**

Use knowledge of sine and cosine as well as properties of their graphs, to apply to the sum or difference of the functions.

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**Use your graphing calculator to sketch the graph of y = 3sin(2x – 1) + 4cos(2x + 3)**

What is the period of the graph? What is the amplitude of the graph? Rewrite y in the form asin(b(x + c)).

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From the previous example: what do the sine and cosine terms have in common? y = 3sin(2x – 1) + 4cos(2x + 3) If the periods of the sine and cosine terms are different, then the combination will not be a sine (or cosine) curve, but will still be periodic.

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**Let f(x) = sin(2x) + 4cos(3x)**

Determine the period of f. Determine the range of f.

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**Sketch without using a graphing calculator y = cos(2x) + sin(4x)**

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You Try! Let f(x) = sin( ½ x) - 2cos(½ x - 1). Rewrite f(x) in the form asin(b(x + c)). Let g(x) = sin(3x) + 5cos(4x). Determine the period of f. Determine the range of f. Sketch without a graphing calculator. f(x) = cos(8x) – sin(2x)

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**Midterms… You need to understand and fix your mistakes.**

On separate paper, number and neatly write the questions you missed. For each question, write the correct answer (full answer, not B) and why you got it wrong. Did you drop a negative, miscalculate or use the wrong formula. Due back Feb 1st (A day), Feb 2nd (B day)

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Chapter 5 Trigonometric Functions Copyright © 2014, 2010, 2007 Pearson Education, Inc. 1 5.7 Inverse Trigonometric Functions.

Chapter 5 Trigonometric Functions Copyright © 2014, 2010, 2007 Pearson Education, Inc. 1 5.7 Inverse Trigonometric Functions.

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