What is the frequency of the function f(x)?f(x)=3cos(5x)+2Enter your answer, in simplest fraction form, in the box.

Answer:The frequency = 5/2πStep-by-step explanation:* Lets revise some facts about the trigonometry function- If the function is f(x) = A sin (B x + C) + D  * A is the amplitude  - The amplitude is the height from highest to lowest points and    divide the answer by 2  * The period is 2π/B  - The period is the distance from one peak to the next peak - Period and Frequency are related where frequency = 1/period* C is the horizontal shift  - The horizontal shift is how far the function is shifted to left    (C is positive) or to right (C is negative) from the original position.  * D is the vertical shift  - The vertical shift is how far the function is shifted vertically up   (D is positive) or down (D is negative) from the original position.  * Lets solve the problem∵ f(x) = 3 cos (5x) + 2∵ f(x) = A sin (B x + C) + D  ∴ A = 3 , B = 5 , C = 0 , D = 2∵ The period = 2π/B∴ The period = 2π/5∵ The frequency = 1/period∴ The frequency = 1/(2π/5) ⇒ multiply up and down by 5∴ The frequency = 5/2π