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