13.1 Periodic Data One complete pattern is called a cycle. A periodic function repeats a pattern of y-values (outputs) at regular intervals. One complete pattern is called a cycle. The period of a function is the horizontal length of one cycle. Amplitude is half the difference between the maximum point & the minimum point. Okay let's look at WS 13.1

13.2 Angles and the Unit Circle An angle in standard position when the vertex is at the origin and one ray is on the positive x-axis. The ray on the x-axis is the initial side of an angle; the other ray is the terminal side of the angle. initial side terminal side

so 180o + 20o = 200o, which is the measure of the angle. Ex1: The angle measure of 20o more than a straight angle of 180o 20o so 180o + 20o = 200o, which is the measure of the angle. quarter rotation 90o three quarter rotation 270o full rotation 360o half rotation 180o

EX 2: Find the measure of the angle. 30o 45o

EX 3: Sketch the angle. a) 36o b) 315o c) -150o Two angles in standard position are coterminal angles if they have the same terminal side. 135o -225o

The unit circle has a radius of 1 unit and its center at the origin. y 1 -1 1 x -1

Def'n: Suppose an angle in standard position has measure θ Def'n: Suppose an angle in standard position has measure θ. The cosine of θ (cos θ) is the x-coordinate of the point at which the terminal side of the angle intersects the unit circle. The sine of θ (sin θ) is the y-coordinate. 1 (cos θ, sin θ) θ 1 Remember back to your special right triangles. 60o 2x x 30o x√3

(cos θ, sin θ) 1 30o 1 30o

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