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Conversion of Radians and Degrees
Degree Radian
180by multiply
Radians Degrees
180by multiply
Example 1 Converting from Degrees to Radians
[A] 60° [B] 30°
Example 2 Converting from Radians to Degrees
[A] [B]4
7
3
5
Lesson 13.6 Circular Functions
Unit Circle Ordered Pair: )sin ,(cos
Example 1 Unit Circle Points (Find Sine & Cosine)
A]
31
,3
32P B]
43
,47
P
31
sin
332
cos
43
sin
47
cos
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 5θ
5
4
4
5
5
3
3
5
3
4
4
3
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 =
0 UND
1 1
0 UND
45˚
Calculator Free Trigonometry
[1]10
45sinx
[2]x
1245cos
[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.