Below is the graph of \(y=3\sin x+4\cos x\).
![Wave oscillating between y=5 and y=-5 with period 2 Pi. The first positive x-intercept is just before pi and the y-intercept is at 4.](/trigonometry-compound-angles/transformation-or-not/images/sincos.png)
How does this compare with the previous graph?
What function did you use to describe the previous graph?
Below are three graphs of similar functions, namely \[y=A\sin x+B\cos x,\] where \(A\) and \(B\) are real numbers.
Can you work out what \(A\) and \(B\) are for each of these graphs?
Can you describe each of them using a single trigonometric function?
You might want to refer back to Things you might have noticed to help with this.
Graph 1
![Wave passing through (0,-1) and (pi/2,1)](/trigonometry-compound-angles/transformation-or-not/images/graph1.png)
Graph 2
![Wave oscillating between y=2 and y=-2, and passing through the points (pi/2,1) and (pi/6,2)](/trigonometry-compound-angles/transformation-or-not/images/graph2a.png)
Graph 3
![Wave oscillating between y=-2 and y=2 and passing through the points (pi/2,-1), and (pi/6,-2)](/trigonometry-compound-angles/transformation-or-not/images/graph3a.png)