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Question

Solve : (1+cotAcosecA)(1+tanA+secA)=2

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Solution

(1+cotAcosecA)(1+tanA+secA)
(1+cosAsinA1sinA)(1+sinAcosA+1cosx)
((sinA+cosA1)(sinA)(sinA+cosA+1)(cosA))
(sinA+cosA)212sinAcosA ((a+b)(ab)=a2b2)
sin2A+cos2A+2sinAcosA1sinAcosA
1+2sinAcosA1sinAcosA (sin2A+cos2A=1)
2sinAcosAsinAcosA
2
RHS
LHS=RHS.

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