Question

Prove that, (cosA+cosecA-1)/(cosA-cosecA+1)=(1+cosA)(cosecA)

Answer 1

Answer:

Check the above attachment for ur answer

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Answer 2

Correct question:-

prove that :-

$\sf\dfrac{CotA+CosecA-1}{CotA-CosecA+1}$ = $\sf (1+CosA)(CosecA)$

Solution:-

$\sf\dfrac{CotA+CosecA-1}{CotA-CosecA+1}$

$\sf\dfrac{CotA+CosecA-(Cosec²A-Cot²A)}{CotA-CosecA+1}$

$\sf\dfrac{CotA+CosecA-[(CosecA+CotA)(CosecA-CotA)}{CotA-CosecA+1}$

$\sf\dfrac{CotA+CosecA[1-(CosecA-CotA)]}{CotA-CosecA+1}$

$\sf\cancel\dfrac{CotA+CosecA(1-CosecA+CotA)}{CotA-CosecA+1}$

$\sf CotA+CosecA$

$\sf\dfrac{CosA}{SinA}+\dfrac{1}{SinA}$

$\sf\dfrac{CosA+1}{SinA}$

$\sf (CosA+1)(CosecA)$ = R.H.S