Determine the Amplitude and period of the functions 5 sin2x

Determine the Amplitude and period of the functions 5. sin(2x) 7. 2cos(4x)

Solution

In asin(bx) or acos(bx) the amplitude is |a| and period is 2pi/b

5) sin(2x) - amplitude is 1 and period is 2pi/2=pi

6) -3 cos(x/2)- amplitude is 3 and period is 4pi

7) 1/4 sin(3x/2) - amplitude is 1/4 and period is 4pi/3

8) 2 cos(4x) - amplitude is 2 and period is pi/2