Warm Up Convert each measure from degrees to radians. 1. 120°2. 180° 3. 225°4. –30°
Conversion of Radians and Degrees Degree Radian Radians Degrees Example 1Converting from Degrees to...
Transcript of Conversion of Radians and Degrees Degree Radian Radians Degrees Example 1Converting from Degrees to...
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.