Warm Up Sketch one cycle of the sine curve:

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Presentation transcript:

Warm Up Sketch one cycle of the sine curve: 1. amplitude = 3, period= π 2. amplitude = .5, period= π/2 3. y = 2sin ө 4. y = 3sin ө/2

An angle is 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 the angle; the other ray is the terminal side of the angle. Draw the angles a. 90° b. 45° c. 30° d. 150° e. 135°

name 2 coterminal angles (one pos and one neg) 1. 25° 2. -90 ° 3. 110 ° 4. 320 ° 5. -340 ° 6. 400 ° 7. 700 ° 8. 765 °

  Find Sin Cos and Tan of 120 degrees Find Sin Cos and Tan of -30 degrees

1. amplitude = 3, period= π

2. amplitude = .5, period= π/2

3. y = 2sin ө

4. y = 3sin ө/2

Obj: Graph and write cosine function

Ex 1: sketch the graph y = 1.5 cos 2ө

Ex 2: sketch the graph y = - cos ө

Ex 3: sketch y = 2 cos 2ө

Ex 4: Write the cosine function with an amplitude of 3 and period of π

Tangent function

Period of tan =

Ex 3: sketch two cycles of y = tan ө/2

Ex 5:

Ex 6: HW L13.5 1-15, 22-25 L13.6 1-14