Math, asked by anjani240378, 10 months ago

please solve this fast​

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Answered by Anonymous
5

 \frac{ \sin \alpha  }{ \cot \alpha  +  \csc \alpha   } -  \frac{ \sin \alpha  }{ \cot \alpha  -  \csc \alpha  } \\  \\  =  >    \frac{ \sin \alpha  }{ \cot \alpha +   \csc\alpha  }   + \frac{ \sin \alpha}{ \csc \alpha -  \cot\alpha    }  \\  \\  =  >  \frac{ \sin\alpha( \csc\alpha -  \cot\alpha)   +  \sin\alpha( \cot\alpha    +  \csc \alpha ) }{ { \csc}^{2}  \alpha  -  { \cot }^{2} \alpha   }  \\  \\  =  >   \frac{ \sin \alpha \csc\alpha  -  \sin \alpha \cot \alpha     +  \sin\alpha \cot\alpha  +  \sin \alpha \csc\alpha     }{1}  \\  \\  =  >  1 + 1 = 2 = RHS

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