Buktikan identitas Sin x/1+cos x=sec x-1/tan x
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Pertanyaan
Buktikan identitas
Sin x/1+cos x=sec x-1/tan x
Sin x/1+cos x=sec x-1/tan x
1 Jawaban
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1. Jawaban Robinn
sinx / 1 + cosx = secx - 1 / tanx
sinx / 1 + cosx = 1/cosx - 1 / sinx/cosx
sinx / 1 + cosx = 1 - cosx / cosx / sinx/cosx
sinx / 1 + cosx = 1 - cosx / sinx
sinx / 1 + cosx = (1 - cosx)(1 + cosx) / sinx (1 + cosx
sinx / 1 + cosx = 1 - cos²x / sinx (1 + cosx)
sinx / 1 + cosx = sin²x / sinx (1 + cosx)
sinx / 1 + cosx = sinx / 1 + cosx