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You have 20 minutes…

You have 20 minutes…. Pick up everything you need off the back desk to finish the practice test from yesterday. Make sure your scan tron has your name on it. Check your Unit 5 homework also!. Trigonometry . Mary Lauren Willis Sydnee Wilcher Kaylee S. Kayla S. Periodic Functions.

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You have 20 minutes…

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  1. You have 20 minutes… • Pick up everything you need off the back desk to finish the practice test from yesterday. • Make sure your scan tron has your name on it. • Check your Unit 5 homework also!

  2. Trigonometry Mary Lauren Willis Sydnee Wilcher Kaylee S. Kayla S.

  3. Periodic Functions • Periodic Function- repeats a pattern of y-values at regular intervals • Period- horizontal length of one cycle • Cycle-one complete pattern • Amplitude- height; measures variations in the function values • ½(Maximum-Minimum)

  4. 1). Highlight one cycle 2). Period? 3). Amplitude? 4). Graph the midline Amplitude deals with the ___ value. Period deals with the ___ value.

  5. Unit Circle

  6. Examples • Convert measure to radians or degrees: • 260° • -220° • 5π/4 • -6π/5

  7. How to graph trigonometric functions • y= asin b(x-c)+d • y= acos b(x-c)+d • a= amplitude • If negative- flip • b= period • c= horizontal shift • d= vertical shift

  8. Sine and cosine graphs Graph sinΘ and cosΘ Period= 2π Amplitude=1 ~amplitude and period correspond~

  9. Shifting sine and cosine graphs Shift y=sin(x) π/2 units right Equation:

  10. transformations Domain: Range: Amplitude: Period: Phase Shift: Vertical Slide: y=2cosΘ

  11. Graph tangent Domain: Range: Amplitude: Period: Zeroes: y=tanΘ

  12. Trigonometric equations • a impacts the amplitude of the graph • b alters the period • A change in c causes a horizontal shift • When c is positve(x-c), the graph shifts right • When c is negative(x+c), the graph shifts left • A change in d causes a vertical shift • When d is positive, the graph shifts up • When d is negative, the graph shifts down

  13. Trig identities- Reciprocal identities

  14. Trig identities- Pythagorean identities

  15. Verify tan²Θ- sin²Θ= tan²Θsin²Θ

  16. Simplify (1+cot²Θ)(sec²Θ-1)

  17. Unit 6 Questions

  18. Unit 6 Questions

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