Question

Find the period of the function: cos (3x + 5) + 7

Answer 1

periodic function is a special type of function in which, function returning to the same value at regular intervals.

here cos(3x + 5) + 7 is a periodic function and we have to find its period.

we know, period of cosx = 2π

and period of cosax = 2π/|a|

so, period of cos3x = 2π/3

or, period of cos(3x + 5) = 2π/3

or, period of cos(3x + 5) + 7 = 2π/3

hence, period of cos(3x + 5) + 7 is 2π/3