buktikan bahwa sin(x+y)+sin(x-y)/cos(x+y)+cos(x-y)= tan y
Matematika
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Pertanyaan
buktikan bahwa
sin(x+y)+sin(x-y)/cos(x+y)+cos(x-y)= tan y
sin(x+y)+sin(x-y)/cos(x+y)+cos(x-y)= tan y
1 Jawaban
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1. Jawaban Anonyme
TriGonoMetRi
[sin (x + y) + sin (x - y)] / [cos (x + y) + cos (x - y)]
= [2 sin (x + y + x - y)/2 cos (x + y - x + y)/2] / [2 cos (x + y + x - y)/2 cos (x + y - x + y)/2]
= sin x cos y / cos x cos y
= sin x / cos x
= tan x
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