Matematika

Pertanyaan

buktikan bahwa
sin(x+y)+sin(x-y)/cos(x+y)+cos(x-y)= tan y

1 Jawaban

  • 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
    TAK TerBukTi

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