Question

Find the range of f(x)= 3sinx + 4cosx - 5

Answer 1

let f(x) = y

⇒y = 3sinx + 4cosx - 5

diving hole equation by 5 on both sides

⇒y/5 = 3sinx/5 + 4cosx/5 - 1

let 3/5 = cos k

so 4/5 = sin k

⇒y/5 = cosk.sinx +  sink.cosx - 1

⇒y = 5(sin(x + k) - 1)

so we know  

-1≤ sin(x+k) ≤1

⇒ -2≤ sin(x+k) - 1 ≤ 0

⇒ -10≤ 5[sin(x+k) -1]≤0

so the range of f(x)∈ [-10,0] ANSWER

Answer 2

Answer:

Mark as brainliest

This is a very conceptual question and has a couple of more methods of solving.

Step-by-step explanation:

You just have to use range of sinx and voila!