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