Question 210012
secx-tanxsinx=1/secx
(1/cos) - (sinx/cosx)sinx = cos

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Multiply thru by cos(x) to get:
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1 - sin^2(x) = cos^2(x)
1 = sin^2(x) + cos^2(x)
1 = 1
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Cheers,
Stan H.