Question

Write the superposition of trig functions as a product. cos 24t − cos 18t

A) cos(3t)sin(7t)
B) sin(3t)cos(7t)
C) cos(21t)
D) sin(21t)

Answer 1

The superposition of the trig functions cos 24t and cos 18t can be written as a product using trigonometric identities. The correct answer is C) cos(21t).

Step-by-step explanation:

The superposition of the trig functions cos 24t and cos 18t can be written as a product using trigonometric identities. We can use the identity cos(u) + cos(v) = 2cos((u+v)/2)cos((u-v)/2) to rewrite the expression as 2cos((24t+18t)/2)cos((24t-18t)/2). Simplifying this expression gives us cos(21t) as the product.

Therefore, the correct answer is C) cos(21t).