Trigonometry Review for AP Calculus AB Mr. Straight, Room 310.

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Presentation transcript:

Trigonometry Review for AP Calculus AB Mr. Straight, Room 310

Rationale says: The All students should..

Rationale (cont.).. have studied trigonometry.. know the trig function values at and their multiples

Table of Contents 1)Radians, Degrees, and the Unit Circle (oh my!) 2)Finding trig function values 3)Trig function graphs click to choose!

Radians, Degrees, and the Unit Circle

Convert degrees to radians (gain π) Example: Radians, Degrees, and the Unit Circle

Convert radians to degrees (drop π) Example: Radians, Degrees, and the Unit Circle

Fill in the unit circle with David! Unit Circle: The Angles Radians, Degrees, and the Unit Circle

Fill in the unit circle with David! Unit Circle: The Coordinates Radians, Degrees, and the Unit Circle

A complete unit circle Unit Circle: The Patterns Radians, Degrees, and the Unit Circle

You try! 1) Convert 45 ̊ into radians b. a. c. d. Radians, Degrees, and the Unit Circle

Sorry, incorrect. Try again! Radians, Degrees, and the Unit Circle

Correct! Nice work! Radians, Degrees, and the Unit Circle 9

You try! 2) Convert radians into degrees a. b. c. d. Radians, Degrees, and the Unit Circle

Sorry, incorrect. Try again! Radians, Degrees, and the Unit Circle

Correct! Nice work! Radians, Degrees, and the Unit Circle

You try! 3) What are the 4 main radian denominators? a. 2, 3, 4, 6 b. 2, 4, 6, 8 c. 1, 2, 3, 4 d. 1, 3, 5, 7 Radians, Degrees, and the Unit Circle

Sorry, incorrect. Try again! Radians, Degrees, and the Unit Circle

Correct! Nice work! Radians, Degrees, and the Unit Circle

Finding Trig Function Values Trigonometric functions help us find a launch angle Photo: by Steve Jurvetsonhttp://

Trigonometric functions help us find Finding Trig Function Values an unknown height ? 40 ̊ 50 ft Photo: by

Finding Trig Function Values

Click each function to reveal its reciprocal. sin Ѳ cos Ѳ Click to move on tan Ѳ

Finding Trig Function Values Cosecant

Finding Trig Function Values Secant

Finding Trig Function Values Cotangent

Finding Trig Function Values Since the unit circle radius is always 1, Ѳ Click below for trig functions and reciprocals

Finding Trig Function Values How to find trig function values:

Finding Trig Function Values Find values for all trig functions at (Unit circle OR hand trick) Table of Contents

Trig Function Graphs Unit circle to the coordinate plane!

Conclusion

Some helpful links: l/java/unitcircle/ ules/triggrph.htm ra/trig-interactive-unit-circle.html