sin A (1 + tan A) + cos A ( 1 + cot A) = sec A + cosec A
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Answer:
sinA(1+sinA/cosA)+cosA(1+cosA/sinA)
sinA(cosA+sinA/cosA)+cosA(sinA+cosA/sinA)
(sinA+cosA)(sinA/cosA+cosA/sinA)
(sinA+cosA)/(sinAcosA)
1/cosA+1/sinA
secA+cosecA
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