tan a by 1 +sec a - tan a by 1 - sec a =2 cossec a
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Step-by-step explanation:
TanA/1 + SecA - TanA/1 - SecA
= SinA / CosA + 1 - SinA/CosA - 1
= SinA(CosA - 1) - SinA(CosA + 1) /Cos²A - 1
= SinACosA - SinA - SinACosA - SinA / - Sin²A
= -2 SinA / - Sin²A
= 2/SinA
= 2CosecA
= R.H.S
Hence proved.
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