AMPLITUDE PERIOD MAXIMUM AND MINIMUM OF SINE FUNCTION WORKSHEET

For the following sine functions find 

i) amplitude 

ii) period

iii)  maximum and minimum of y-values and corresponding x-values

iv) Graph two full periods of each function.

Problem 1 :

f(x) = 4 sin x

Solution

Problem 2 :

f(x) = 3 sin x + 2

Solution

Problem 3 :

f(x) = sin (5x) + 2

Solution

Answer Key

1)  Amplitude (A) = 4, B = 1, period = 2π/1 ==> 2π

Maximum = 4 at x = π/2

Minimum = -4 at x = 3π/2

2)  Amplitude (A) = 3, B = 1, period = 2π/1 ==> 2π

Maximum = 5 at x = π/2

Minimum = -1 at x = 3π/2

3)  Amplitude (A) = 1, B = 5, period = 2π/5

Maximum = 3 at x = π/10

Minimum = 1 at x = 3π/10