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If x=secphi -tanphi and y="cosec" phi+c...

If `x=secphi -tanphi and y="cosec" phi+cotphi`, then show that `xy+x-y+1=0.`

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To solve the problem, we need to show that if \( x = \sec \phi - \tan \phi \) and \( y = \csc \phi + \cot \phi \), then \( xy + x - y + 1 = 0 \). ### Step 1: Find the product \( xy \) We start by calculating \( xy \): \[ xy = (\sec \phi - \tan \phi)(\csc \phi + \cot \phi) ...
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