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Algebra II Honors

Algebra II Honors. 9.4 and 9.5: Graphing Trig Functions (4.5 and 4.6 in old pre-calc book) Graphing Quiz Friday. Graph of y = sin x. Sine graph is periodic (period for y = sin x is ). Five Key Points: Intercepts, Max, and Min. Amplitude = half the distance bet.

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Algebra II Honors

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  1. Algebra II Honors 9.4 and 9.5: Graphing Trig Functions (4.5 and 4.6 in old pre-calc book) Graphing Quiz Friday

  2. Graph of y = sin x • Sine graph is periodic (period for y = sin x is ). • Five Key Points: Intercepts, Max, and Min. • Amplitude = half the distance bet. the max. and min. (amplitude for y = sin x is 1.)

  3. Graph of y = cos x • Cosine graph is periodic (period for y = cos x is ). • Five Key Points: Intercepts, Max, and Min. • Amplitude = half the distance bet. the max. and min. (amplitude for y = cos x is 1.)

  4. Graphing: • Amplitude = • Period = • Phase Shift : solve equations and . • This will give you the left and right endpoints of a period. • Vertical Shift = The graph of is a reflection in the x-axis of .

  5. Find the period and amplitude of the graph. 1.) 2.) 3.)

  6. Sketch one period of the graph.

  7. Sketch one period of the graph.

  8. Sketch one period of the graph.

  9. Graph of y = tan x • Vertical asymptotes = • X-intercepts = Tangent graph is periodic (period for y = tan x is ).

  10. Graphing: Asymptotes = solve equations and . X-intercept: half way between asymptotes. Period = distance between two consecutive asymptotes. The graph of is a reflection in the y-axis of .

  11. Sketch one period of the graph.

  12. Graph of y = cot x • Vertical asymptotes = • X-intercepts = Cotangent graph is periodic (period for y = cot x is ).

  13. Graphing: Asymptotes = solve equations and . X-intercept: half way between asymptotes. Period = distance between two consecutive asymptotes. The graph of is a reflection in the y-axis of .

  14. Sketch one period of the graph.

  15. Graphing Cosecant and Secant • Cosecant: graph sine first. • Where sin x = 0, csc x has a vertical asymptote. • Secant: graph cosine first. • Where cos x = 0, sec x has a vertical asymptote.

  16. Sketch one period of the graph.

  17. Sketch one period of the graph.

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