Find Sin(P + Q) from 2 equations

[bigmac]

Homework Statement

In triangle PQR, 3SinP + 4CosQ = 6 and 4SinQ + 3CosP = 1. a) Find sin(P + Q). b) Determine the measure of angle R, in radians. The answer given for part a) is 1/2 and part b) pi/6

Homework Equations

Sin (A+B) = SinACosB + CosASinB

The Attempt at a Solution

Thats what I've tried and I simply don't understand how to solve it...

 

[vela]

Try squaring your expressions for sin P and cos P and adding them together and simplify the resulting equation using the identity sin² x + cos² x = 1. I think that'll let you eventually solve for Q. Once you have Q, you can solve for P.