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Warm-Up Question

Warm-Up Question. Evaluate each trigonometric function. 1) 2) 3) 4) 5) 6). Graph of Sine, Cosine, and Tangent Functions. Trigonometric Graphs, Identities, and Equations. Graph of y =sin( x ) and y = cos ( x ). Lesson: P.612. Graph of .

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Warm-Up Question

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  1. Warm-Up Question Evaluate each trigonometric function. 1) 2) 3) 4) 5) 6)

  2. Graph of Sine, Cosine, and Tangent Functions Trigonometric Graphs, Identities, and Equations

  3. Graph of y=sin(x) and y=cos(x) • Lesson: P.612 Graph of . Graph of .

  4. Amplitude and Period • Lesson: P.612 The amplitude of each function’s graph is half the difference of the maximum and the minimum. A function is periodic if its graph has a repeating pattern. The shortest repeating portion of the graph is called a cycle. The horizontal length of each cycle is called the period. amplitude: 1 period: • Example: What is the period and amplitude of ? Required Practice: P.616 3, 4, 5

  5. Amplitude and Period of y=sin(x) and y=cos(x) • Lesson: P.613 • Example: P.613 Find amplitude and period of and The amplitude and period of the graphs of and , where a and b are nonzero real numbers, are as follows: For example, Period: |1| = 1 Amplitude: Period: |3| = 3 Amplitude: Period: 1 Amplitude: Required Practice: Find amplitude and period of p.613 GP 1, 2, 3, 4

  6. Graphing Sine and Cosine Functions • Example: P.615 Graph Required Practice: p.615 GP 5, 6, 7, 8

  7. Warm-Up Question Evaluate each trigonometric function. 1) 2) 3) 4) 5) 6) 7)

  8. Graph of y=tan(x) • Lesson: p.615 Graph of .

  9. Graphing tangent functions • Lesson: P.614 • Example: P.614 Graph The period and vertical asymptotes of the graph of , where a and b are nonzero real numbers, are as follows: In addition, the value of y is a or –a at halfway to vertical asymptotes. For example, has… Period: V.A.: y is a(=2) at: y is –a(=-2) at: Required Practice: p.616 GP 10, 11, 12, 13

  10. Homework Part 1 Workbook P.126: 1, 2, 3, 5, 6 Part 2 Workbook P.126: 4, 7, 8, 9

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