Given the following function f(x)=√3 sinx+cosx on the interval [0,2π].

A. Determine the open interval(s) where f(x) is increasing.
B. Determine the open interval(s) where f(x) is decreasing.
C. Determine the relative maximum(s) or minimum(s).

Question

Given the following function f(x)=√3 sinx+cosx on the interval [0,2π].

A. Determine the open interval(s) where f(x) is increasing.
B. Determine the open interval(s) where f(x) is decreasing.
C. Determine the relative maximum(s) or minimum(s).

anonymous · Answer

$$\text{Re-write }\sqrt{3} \sin x + \cos x\ \text{ in the form } R\sin (x + \alpha)$$

... and go from there.

anonymous · Answer

???...showing math processing error

anonymous · Answer

$$\sqrt{3}\sin x + \cos x = 2\sin\left(x+\frac{\pi}{6}\right)$$

anonymous · Answer

That probably makes it easier to work out what  you need from? I would explain how to get that normally, but very tired ¬_¬.