Question

without derivative find the maximum and minimum values of 3sinx+4cosx

Answer 1

This key to doing this question is to know that the sum of a sin function and a cos function is still a sin (or cos) function. Have you come across the equation
\[a \sin x + b\cos x = A\sin(x+\theta)
\]where \(A=\sqrt{a^2+b^2}\) and \(\tan \theta = \frac{a}{b}\)?

Answer 2

no

Answer 3

I expect it's what you have to use. Do you understand what the formula above is saying?