# Thread: Max value of trigonometric function

1. ## Max value of trigonometric function

Decide the x-value which is Max value of the function y=4sin(x)+3cos(x) in 0<=x<=2

Thanks for helping.

2. Endpoints (0,3) and (2,2.3887)

1st derivative $\displaystyle y'=4\cos{x}-3\sin{x}=0\Rightarrow \frac{4}{3}=\tan{x}$

Solve the equation for rel. maxes between [0,2] if there are any.