Verify each identity:

(tanx+tany) / (1-tanxtany) = (sinxcosy+cosxsiny) / (cosxcosy-sinxsiny),

Question

Cannoli

Mathematics

20 May, 02:53

Verify each identity:

(tanx+tany) / (1-tanxtany) = (sinxcosy+cosxsiny) / (cosxcosy-sinxsiny),

+3

Answers (1)

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Genevieve · Answer 1

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)

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

Verify each identity:

(tanx+tany) / (1-tanxtany) = (sinxcosy+cosxsiny) / (cosxcosy-sinxsiny),