sinA(1+tanA)+cosA(1+cotA)=secA+cosecA
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Step-by-step explanation:
sinA(1+ sinA/cosA) + cosA(1+cosA/sinA)
sinA(cosA+sinA / cos A) + cosA( sinA+ cosA / sinA)
(sinA/cosA + cosA/sinA) (cosA + sinA)
(sin^2 A + cos^2 A / cosAsinA)(cosA + sinA)
(1/cosAsinA)(cosA +sinA)
cosA + sinA/cosAsinA
cosA/cosAsinA + sinA/cosAsinA
secA + cosecA
Hence Proved......
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