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Conversion of Radians and Degrees Degree Radian Radians Degrees Example 1Converting from Degrees to Radians [A] 60° [B] 30° Example 2Converting from Radians.

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Presentation on theme: "Conversion of Radians and Degrees Degree Radian Radians Degrees Example 1Converting from Degrees to Radians [A] 60° [B] 30° Example 2Converting from Radians."— Presentation transcript:

1 Conversion of Radians and Degrees Degree Radian Radians Degrees Example 1Converting from Degrees to Radians [A] 60° [B] 30° Example 2Converting from Radians to Degrees [A][B]

2 Unit Circles Degrees Radians Radian Degrees Memorize

3 Unit Circle (degrees) 30 60 90 120 150 180 210 240 270 300 330 360 0

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5 Lesson 13.6Circular Functions Unit Circle Ordered Pair: Example 1Unit Circle Points (Find Sine & Cosine) A] B]

6 Example 2Exact Values Using Trig Ration (Calculator Free) A] B] 30º 2

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10 Unit Circle with Common Measures

11 1.

12 4.

13 7.

14 10.

15 11.

16 13. Name the given trig Ratios at the ordered Pair (-5, 12) Sin θ = Cot θ =

17 16. Name the given trig Ratios at the ordered Pair (-5, 0) Sin θ = Cot θ =

18 19.

19 Example 1:Evaluate Trig Functions Given a Point a)(5, –12) b)(–3, 4) sin θ =csc θ = cos θ =sec θ = tan θ =cot θ = sin θ =csc θ = cos θ =sec θ = tan θ =cot θ = -3 4 5 θ

20 Example 2:Quadrant Angles a)270° b)2π sin θ =csc θ = cos θ =sec θ = tan θ =cot θ = sin θ =csc θ = cos θ =sec θ = tan θ =cot θ =

21 45˚ Calculator Free Trigonometry [1] [2] [3] Jim is standing 40 feet from the base of a flagpole. He is looking a the top of the pole with and angle of elevation of 45˚. Find the height of the flagpole.

22 Calculator Free Trigonometry 60˚ 30˚ [1] [2] [3] A 20 foot ramp has an angle of elevation of 30˚. Find the vertical rise of the ramp.


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