SOLUTION: Verify that each equation is an identity. {{{(tan(alpha+beta)-tan(beta))/(1+tan(alpha+beta)tan(beta))}}} =tan(alpha)

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Question 675439: Verify that each equation is an identity.
%28tan%28alpha%2Bbeta%29-tan%28beta%29%29%2F%281%2Btan%28alpha%2Bbeta%29tan%28beta%29%29 =tan(alpha)
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!


tan%28A-B%29+=+%28tan%28A%29+-+tan%28B%29%29%2F%281%2Btan%28A%29tan%28B%29%29
The left side of your equation matches the pattern of the right side of tan(A-B) with the "A" being alpha%2Bbeta and the "B" being beta. So it can be rewritten as a tan(A-B):
tan%28%28alpha%2Bbeta%29-%28beta%29%29+=+tan%28alpha%29
which simplifies to:
tan%28alpha%29+=+tan%28alpha%29
And we're done!