SOLUTION: If SinA - SinB = 1/2 and CosA - CosB = 1 Then find Tan(A + B)?

Algebra ->  Test -> SOLUTION: If SinA - SinB = 1/2 and CosA - CosB = 1 Then find Tan(A + B)?      Log On


   

Question 1184154: If SinA - SinB = 1/2 and CosA - CosB = 1 Then find Tan(A + B)?
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Cos+A+-+Cos+B+=+1 <===> -2Sin%28%28A%2BB%29%2F2%29%2ASin%28%28A-B%29%2F2%29+=+1
Sin+A+-+Sin+B+=+1%2F2 <===> 2Cos%28%28A%2BB%29%2F2%29%2ASin%28%28A-B%29%2F2%29+=+1%2F2

===> -Sin%28%28A%2BB%29%2F2%29%2FCos%28%28A%2BB%29%2F2%29+=+-Tan%28%28A%2BB%29%2F2%29+=++2, after dividing the top equation by the bottom equation.
===> Tan%28%28A%2BB%29%2F2%29+=+-+2

===>