Buktikan (sin x - tan x)/sin x. tan x = cos x-1/sin x
Matematika
Devipurnamasr
Pertanyaan
Buktikan (sin x - tan x)/sin x. tan x = cos x-1/sin x
1 Jawaban
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1. Jawaban Robinn
(sinx - tanx) / sinx tanx = cosx - 1 / sinx
(sinx - sinx/cosx) / sinx tanx = cosx - 1 / sinx
(sinxcosx - sinx / cosx) / sinxtanx = cosx - 1 / sinx
sinxcosx - sinx / sinxtanxcosx = cosx - 1 / sinx
sinx (cosx - 1) / sinxtanxcosx = cosx - 1 / sinx
cosx - 1 / tanx cosx = cosx - 1 / sinx
cosx - 1 / (sinx/cosx) cosx = cosx - 1 / sinx
cosx - 1 / sinx = cosx - 1 / sinx