Root 1+ cosA by 1-cosA + root 1-cosA by 1+cosA = 2cosecA
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Step-by-step explanation:
√1+cosA/1-cosA + √1-cosA/1+cosA
=√(1+cosA)²/1-cos²A + √(1-cosA)²/1-cos²A
=√(1+cosA)²/sin²A + √(1-cosA)²/sin²A
=(1+cosA)/sinA+(1-cosA)/sinA
=1+cosA+1-cosA/sinA
=2/sinA
=2cosecA
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