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

1 Answer
A. S. Adikesavan
Jul 25, 2016

#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.

Related questions
See all questions in Translating Sine and Cosine Functions
Impact of this question
1858 views around the world
You can reuse this answer
Creative Commons License