Pre Calc

Verify the following identity: sin(x)*cos(x)*(cot(x)+tan(x))=1
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asked by Justin
  1. cotx = cos x/sin x
    tan x = sin x/ cos x

    cot x + tan x = cos x/sin x + sin x/ cos x
    so
    cot x + sin x = cos^2 x/sin x cos x + sin^2 x/sin x cos x

    cot x + tan x = (cos^2 x+sin^2x)/sin x cos x

    but cos^2 x + sin^2 x = 1
    you take it from there.

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    posted by Damon

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