Question

The amplitude of the function y = 3∕2 cos(3x) 1.
a) 1
b) 3∕2
c) 1∕3
d) 3

Answer 1

Two sine waves of amplitude A that are 180° out of phase will cancel each other out when they interfere, leading to a resultant amplitude of 0.

Step-by-step explanation:

When two sine waves with the same amplitude travel in the same direction but with a phase difference of 180°, they are completely out of phase. This means that as one wave reaches its maximum positive displacement, the other reaches its maximum negative displacement. Consequently, these waves will interfere destructively, canceling each other out. Therefore, the resultant amplitude of the two waves will be 0.