Buktikan (sin x – tan x)/sin x. tan x = cos x-1/sin x

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Buktikan (sin x – tan x)/sin x. tan x = cos x-1/sin x

Jawaban Terkonfirmasi

(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