ritwik06
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Homework Statement
Given:
sin x + sin y= a
cos x + cos y=b
find tan(x+y)
Prove it to be equal to"
\frac{2ab}{b^{2}-a^{2}}
The Attempt at a Solution
I get stuck after this:
2ab= 2 sin (x+y)+sin 2x+sin 2y
b^{2}-a^{2}= cos 2x + cos 2y + 2 cos (x+y)
Division of the two never results in tan (x+y).
Plase help me express tan (x+y) in terms of a,b!
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