# Trig problem

1. Apr 13, 2010

### romsofia

1. The problem statement, all variables and given/known data A and B are real numbers satisfying 2(sinA+cosB)sinB=3-cosB. Find 3tan^2A+4tan^2B

2. Relevant equations Trig Identities

3. The attempt at a solution well, i expanded 3tan^2A+4tan^2B= 3sin^2A*cos^2B+4sin^2B*cos^2A all over cos^2A*cos^2B after that I am stuck :x

Last edited: Apr 14, 2010
2. Apr 14, 2010

### HallsofIvy

Staff Emeritus
Are we to assume that "A" is the same as "a" and that "B" is the same as "b"?

3. Apr 14, 2010

### romsofia

yes, let me edit that :x