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Verify each identity: (tanx+tany)/(1-tanxtany)=(sinxcosy+cosxsiny)/(cosxcosy-sinxsiny),

Verify each identity: (tanx+tany)/(1-tanxtany)=(sinxcosy+cosxsiny)/(cosxcosy-sinxsiny),
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Verify each identity:
(tanx+tany)/(1-tanxtany)=(sinxcosy+cosxsiny)/(cosxcosy-sinxsiny),

asked
User Shrikanth Kalluraya
by
7.8k points

1 Answer

1 vote
Solution:
(tanx + tany)/(1-tanxtany) is equal to the formula of tan(x+y)
sinxcosy + cosxsiny = is equal to the formula of sin(x+y)formula
cosxcosy - sinxsiny) = is equal to the formula of cos(x+y)

So this means that
tan(x+y) = sin(x+y)/cos(x+y)
answered
User James Iry
by
8.2k points
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