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Prove that: cosA1tanA+sinA1cotA=sinA+cosA

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Solution

given equation is cosA1tanA+sinA1cotA
it can be written as
cosA1sinAcosA+sinA1cosAsinA=cos2AcosAsinA+sin2AsinAcosA=cos2Asin2AcosAsinA

it is in the form of a2b2/ab=a+b

therefore it is equal to cos(A)+sin(A)

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