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Show that `Sqrt((1+Cosa)/(1-cosa)) = Cosec a + Cot A` - SSC (Marathi Semi-English) 10th - Geometry

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Question

Show that `sqrt((1+cosA)/(1-cosA)) = cosec A + cot A`

Solution

L.H.S = `sqrt((1-cosA)/(1+cos A))`

`= sqrt((1-cosA)/(1+cosA) xx (1 - cos A)/(1- cos A)) = sqrt((1- cosA)^2/(1-cos^2A))`

`=sqrt((1- cosA)^2/(sin^2A)) = (1-cosA)/sin A = 1/sin A - cos A/sin A = cosec A -cot A` = R.H.S

Hence prove.

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Solution Show that `Sqrt((1+Cosa)/(1-cosa)) = Cosec a + Cot A` Concept: Trigonometric Identities.
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