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(tan x - sin x)/(tan x sin x) = (tan x sin x)/(tan x + sin x)

[sin x/cos x) - sin x]/[(sin x/cos x)sin x] =? [(sin x/cos x)sin x]/[sin x/cos x) + sin x]

[(sin x - sin x cos x)/cos x]/(sin2 x/cos x) =? (sin2 x/cos x)/[(sin x + sin x cos x)/cos x)

(sin x - sin x cos x)/sin2 x =? sin2 x/(sin x + sin x cos x)

[sin x(1 - cos x)]/sin2 x =? sin2 x/[sin x(1 + cos x)

(1 - cos x)/sin x =? sin x/(1 + cos x)

(1 - cos x)/sin x =? [(sin x)(1 - cos x)]/[(1 + cos x)(1 - cos x)]

(1 - cos x)/sin x =? [(sin x)(1 - cos x)]/[1 - cos2 x)

(1 - cos x)/sin x =? [(sin x)(1 - cos x)]/[1 - (1 - sin2 x)]

(1 - cos x)/sin x =? [(sin x)(1 - cos x)]/sin2 x

(1 - cos x)/sin x = (1 - cos x)/sin x True

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โˆ™ 2010-01-10 16:49:56
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