Answer
See graphs
Work Step by Step
We are given the function:
$f(\theta)=A\cos\theta+B\sin\theta$
Graph $f(\theta)$ for
$(A,B)=(1,1) red color
$(A,B)=(1,2) green color
$(A,B)=(3,4)$ blue color
Notice that in all cases the function's graph is a sinusoidal curve.