Math, asked by gouravlikith, 11 months ago

SinA - CosA+1/SinA+CosA-1= CosA/1-SinA​

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Answered by Anonymous
3

USE THIS PIC FOR REFERENCE DUDE

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Answered by sandy1816
1

 \frac{sina - cosa + 1}{sina + cosa - 1}  \\  \\  =  \frac{ \frac{sina  - cosa + 1}{cosa} }{ \frac{sina + cosa - 1}{cosa} }  \\  \\  =  \frac{tana + seca - 1}{tana - seca + 1}  \\  \\  =  \frac{tana + seca - 1}{( {sec}^{2}a -  {tan}^{2} a) - (seca - tana) }  \\  \\  =  \frac{tana + seca - 1}{(seca - tana)(seca + tana - 1)}  \\  \\  =  \frac{1}{seca - tana}  \\  \\  =  \frac{1}{ \frac{1 - sina}{cosa} }  \\  \\  =  \frac{cosa}{1 - sina}

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