Question

If the fundamental period of the function f(x) = 4cos⁴((x - π)/4π²) - 2cos((x - π)/2π²) is m(π)ⁿ, where m and n are positive integers, then (m + n) is

Answer 1

We have

Thus, the period of f(x) is

= π/1/2π² = 2π³

Clearly, m = 2 and n = 3

Hence, the value of (m + n) is 5.