Mathematics

Problem

In a

\Delta PQR

, if

3 \sin P + 4 \cos Q = 6

and

4 \sin Q + 3 \cos P = 1

, then the angle

R

is equal to [2012 AIEEE] a.

\frac{5\pi}{6}

\frac{\pi}{6}

\frac{\pi}{4}

\frac{3\pi}{4}