SinA(1+tanA)+cosA(1+cotA)=secA+cossecA
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Step-by-step explanation:
sinA(1+tanA)+cosA(1+cotA)
=sinA(cosA+sinA/cosA)+cosA(sinA+cosA/sinA)
=sin²A(cosA+sinA)+cos²A(cosA+sinA)/sinAcosA
=(cosA+sinA)(sin²A+cos²A)/sinAcosA
=cosA+sinA/sinAcosA
=1/sinA+1/cosA
=cosecA+secA
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