Find 3tan^2A+4tan^2B for A,B Real Numbers

[romsofia]

1. Homework Statement A and B are real numbers satisfying 2(sinA+cosB)sinB=3-cosB. Find 3tan^2A+4tan^2B
2. Homework 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

 

[HallsofIvy]

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

 

[romsofia]

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

yes, let me edit that :x