How do you write a cosine equation with max= 21, min= 15 and period=15?

1 Answer
Jul 25, 2016

Answer:

#x= B + 3 cos ( (2pi)/15 t + E)#, where B and E are arbitrary constants.

Explanation:

The general form of cosine wave with axis parallel to t-axis, axis about which it oscillates x = B, amplitude A, period P and epoch (shift) E is

#x - B + A cos (( (2pi)/P)t + E)#.

Here 2 A = maximum x - minimum x #= 21-15=6#. So, A = 3.

The period #(2pi)/P= 15#. So, #P=(2pi)/15#..

Thus, this coscine oscillation is given by

#x = B + 3 cos ((2pi)/15 t + E )#, where B and E are at your choice.