Simpler way to graph multiple trig. functions?

hey everybody,

hope you enjoying maths :)

so in class we are graphing functions like this: y = 3cos2x + 2sin3x + 1
and we are supposed to draw 3cos2x and 2sin3x + 1 separately than add their y-values at certain x-values to get the first function. This is sometimes painstaking and very time consuming. I was thinking if anybody knows a simpler method to this?

Much thanks

I don't believe you are going to find any simpler method- except, of course, to use a graphing calculator.

And, whether you do it by hand or use a use a calculator, be sure to use parentheses to write the function clearly. Is that
2sin(3x)+ 1 or 2sin(3x+1)?

dang >.<
thanks