Sin A (1+tan A ) +cos A (1+cotA) =secA+cosecA
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Step-by-step explanation:
sinA(1+tanA)+cosA(1+cotA)
=sinA(cosA+sinA/cosA)+cosA(sinA+cosA/sinA)
=(sinA+cosA)(sinA/cosA+cosA/sinA)
=(sinA+cosA)(1/sinAcosA)
=1/cosA+1/sinA
=secA+cosecA
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