Periodic Functions (Period and Amplitude)

4

Find the amplitude of y = 4 sin (θ) - 5

8

Find the amplitude of y = 8 cos (6θ) + 3

1

Find the amplitude of y = cos (θ/2) + 3

1/10

Find the amplitude of y = −1/10 cos (7θ) + 2

2π/7

Find the period of y = 1/10 cos (7θ) + 2

2π

Find the period of y = 1/9 tan (θ/2) + 3

π/3

Find the period of y = 2 tan (3θ)

2π

Find the period of y = 4 sin (θ) - 5

π/3

Find the period of y = 7 sin (6θ - 8)

π/4

Find the period of y = 9 tan (4θ)

4π

Find the period of y = cos (θ/2) + 3

8π

Find the period of y = sin (θ/4) - 6

π/3

Find the period of y = −8 cos (6θ) + 3

11π/36 units to the left

Find the phase shift of y = -8sin (6θ+11π/6)

π/4 units to the right

Find the phase shift of y = 4cos (3θ-3π/4) + 3

None

Find the phase shift of y = 4cosθ

40π/3 units to the right

Find the phase shift of y = 5 sin (θ/8-5π/3)

left 4/3

Find the phase shift of y = 7 sin (6θ + 8)

down 8

Find the phase shift of y = 8 tan (7θ) - 8

π/4 units to the left

Find the phase shift of y = 8cos (3θ+3π/4) - 5

π/12 units to the left

Find the phase shift of y =-5tan (8θ+2π/3) + 3

4 units down

Find the vertical shift of y =sin (θ/2-5π/6) -4

3 units up

Find the vertical shift of y =tan (θ/2-5π/6) + 3