Find domain and the range of the function f(x) = 4 sin x - 3 cos x Share with your friends Share 4 Tanveer Sofi answered this The given function isfx=4 sin x-3 cos xClearly, fx is defined for all real values of x, therefore the domain of fx is R.Now, fx can be written as:fx=545sin x-35 cos xPut, cos α=45 ⇒sin α=1-452=35Therefore, fx=5 sin x cosα-cos x sinα=5 sinx-αNow, we know that for all x∈R,-1≤sinx-α≤1⇒-5≤5 sinx-α≤5⇒-5≤fx≤5.Hence, the range of fx is -5,5. 16 View Full Answer
