1+cosA/sinA + sinA/1+cosA = 2 cosecA
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in the Left Hand Side
take the lcm first
(1+cosA)^2 +(sinA)^2/sinA (1+cosA)
1+cos^2A +2cosA + sin^2A / sinA(1+cosA)
1+(cos^2A + sin^2A)+2cosA /sinA (1+cosA)
2+2cosA/sinA (1+cosA)
2 (1+cosA)/sinA (1+cosA)
2/sinA
2cosecA
LHS=RHS
Proved!!!!
hope it helps
take the lcm first
(1+cosA)^2 +(sinA)^2/sinA (1+cosA)
1+cos^2A +2cosA + sin^2A / sinA(1+cosA)
1+(cos^2A + sin^2A)+2cosA /sinA (1+cosA)
2+2cosA/sinA (1+cosA)
2 (1+cosA)/sinA (1+cosA)
2/sinA
2cosecA
LHS=RHS
Proved!!!!
hope it helps
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