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Trigonometry Review for AP Calculus AB: Key Concepts and Graphing Techniques

This resource provides a comprehensive review of essential trigonometric concepts for AP Calculus AB, including simplified radical forms, even/odd properties, and identities. Understand the relationships of trigonometric functions across quadrants I, II, III, and IV. Learn to analyze and graph sine and cosine waves with respect to amplitude, period, phase shift, and vertical shift. Gain skills in creating graphs by first plotting sine or cosine and then inverting points. Ideal for reinforcing foundational knowledge necessary for calculus.

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Trigonometry Review for AP Calculus AB: Key Concepts and Graphing Techniques

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  1. AP Calculus AB Day 1 Trig (Appendix Section 3) Perkins

  2. Review of Trigonometry

  3. Give in simplified radical form. QII QIII QIV QIII

  4. Even / Odd Properties Identities you should know: Compare the values of the trig function in QI and QIV.

  5. Solve on the interval .

  6. Trig Graphs Amplitude Period Phase shift Vertical shift Height of each ‘wave’. Length of one ‘wave’. Re-center the graph at x = C. Re-center the graph at y = D.

  7. Create these graphs by making the sine or cosine graphs first and then taking the reciprocal of each y-value. Amplitude Period Phase shift Vertical shift Only applies to sine and cosine. All are the same as sine and cosine

  8. Amplitude Doesn’t really apply (not a wave) Gives a point the graph passes through Period Repeats twice as fast as sin, cos, sec, csc Phase shift, Vertical shift Same as sin, cos, sec, csc

  9. Graph one period, beginning at zero. Amplitude Period Phase shift Vertical shift Re-center graph at

  10. AP Calculus AB Day 1 Trig (Appendix Section 3) Perkins

  11. Review of Trigonometry

  12. Give in simplified radical form.

  13. Even / Odd Properties Identities you should know: Compare the values of the trig function in QI and QIV.

  14. Solve on the interval .

  15. Trig Graphs Amplitude Period Phase shift Vertical shift

  16. Create these graphs by making the sine or cosine graphs first and then inverting individual points. Amplitude Period Phase shift Vertical shift

  17. Amplitude Period Phase shift, Vertical shift

  18. Graph one period, beginning at zero. Amplitude Period Phase shift Vertical shift

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