Question

Prove that sinA(1+tanA)+cosA(1+cotA) =secA +cosecA​

Answer 1

Step-by-step explanation:

sinA(1+tanA)+cosA(1+cotA)

sinA×sec^A+cosA×cosec^A

sinA×1/cos^A+cosA×1/sin^A

sinA+cosA×1/cos^A×1/cos^A

1×1

1 ...(LHS)

secA+cosrcA

1/cosA+1/sinA

sinA+cosA/sinA×cosA

1. (RHS)

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