cosec A/ (cosec A- 1) + cosec A /( cosec A+ 1) =2 sec2 A
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LHS {= cosecA} (cosecA+1)+cosecA(cosecA-1) / cosec^2A -1
{= cosec} (cosecA+1+cosecA-1) / cot^2A
{= 2cosec^2A / cot^2}
{= 2 / sin^2A / cos^2A / sin^2A}
{= 2 / cos^2}
{ = 2sec^2A}
RHS = 2sec^2A
hence, {LHS=RHS }
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LHS {= cosecA} (cosecA+1)+cosecA(cosecA-1) / cosec^2A -1
{= cosec} (cosecA+1+cosecA-1) / cot^2A
{= 2cosec^2A / cot^2}
{= 2 / sin^2A / cos^2A / sin^2A}
{= 2 / cos^2}
{ = 2sec^2A}
RHS = 2sec^2A
hence, {LHS=RHS }
HOPE IT HELPS:-------
pls mark as brain list
T!—!ANKS!!!
elhanan01:
thx
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