Consider the function f defined by fx 100 squareroot3 sin 2

Consider the function f defined by f(x) = 100 squareroot^3 sin 2nx - 100 cos 2pi x Is the function periodic? If so, what is its period? If the function has an amplitude, find its amplitude. Consider the function f defined by f(x) = 10 sin 4x + 20 sin^2 2x - 20 cos^2 2x Is the function periodic? If so, what is its period? If the function has an amplitude, find its amplitude.

Solution

Solution : yes it is a periodic function.

The given equation may be written as

f(x)=(100/2)sin (2x-/3)

Period is 2

Thus amplitude is 100/

Please see after some time for complete and other part of the question.