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proved trig identity tanX- cot X = (secX-cscX) (sinX + cosX)

Mathematics
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proved trig identity tanX- cot X = (secX-cscX) (sinX + cosX)

Apr 8th, 2015

tanx - cotx = sinx/cosx - cosx/sinx

= sinxsinx/cosxsinx - cosxcosx/cosxsinx

= sin^2x - cos^2x / cosxsinx

= (sinx - cosx)(sinx + cosx) / cosxsinx

= (sinx/cosxsinx - cosx/cosxsinx)(sinx + cosx)

= (1/cosx - 1/sinx)(sinx + cosx)

= (secx - cscx)(sinx + cosx)


Apr 8th, 2015

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