Math, asked by prateekgupta, 1 year ago

solve this equation

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prateekgupta: fast reply

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Answered by rohitkumargupta
6
HELLO DEAR,



u think something is mistake in your questions

right questions is like that:-

 \sqrt{ \frac{sec \alpha - 1 }{sec \alpha  + 1 } }  = cosec \alpha   - cot \alpha


 \sqrt{ \frac{sec \alpha  - 1}{sec \alpha  + 1} }  \\  \\  =  >  \sqrt{ \frac{sec \alpha  - 1}{sec \alpha  + 1} \times  \frac{sec \alpha   - 1}{sec \alpha  - 1}  }  \\  \\  =  >  \sqrt{ \frac{ {(sec \alpha  - 1)}^{2} }{ {sec}^{2} \alpha  - 1 } }  \\  \\  =  >  \sqrt{ \frac{ {(sec \alpha  - 1)}^{2} }{ {tan}^{2}  \alpha } }  \\  \\  =  >  \frac{sec \alpha  - 1}{tan \alpha }  \\  \\  =  >  \frac{sec \alpha }{tan \alpha }  -  \frac{1}{tan \alpha }  \\  \\  =  >  \frac{1}{cos \alpha  }  \times  \frac{cos\alpha }{sin \alpha }  -  \frac{1}{tan \alpha }  \\  \\  =  > cosec \alpha  - cot \alpha


I HOPE ITS HELP YOU DEAR,
THANKS
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