Question

Prove that $\frac{CotA-CosA}{CotA-CosA}$ = $\frac{CosecA-1}{CosecA+1}$.

Answer 1

HEYA!!

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\frac{ \cot\alpha - cosa }{cota \:  + \:  cosa}  =  \\  \\  \frac{ \frac{cosa}{sina}  - cosa}{ \frac{cosa}{sina} + cosa }  \\  \\  

\frac{cosa( \frac{1}{sina \:  } - 1) }{cosa (\frac{1}{sina}  + 1)}  \\  \\  =   \frac{ \frac{1}{sina}  - 1}{ \frac{1}{sina}  + 1}  = \\  \\  \frac{coseca - 1}{coseca + 1}  

=RHS  

Hence proved ✅✅

Thanks :)

HOPE IT WORKS !!!

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