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Prove that: " "( tan A...

Prove that: `" "( tan A + sinA)/(tanA - sinA) = (sec A +1)/(secA -1)`

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`" "L.H.S. = (tan A + sin A)/(tanA - sinA)`
`" " = ((sinA)/(cosA) + sinA)/((sinA)/(cosA)- cosA)= (sinA)/(sinA) ([secA +1])/([secA -1])`
`" " = R.H.S`
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Knowledge Check

  • (tanA+secA-1)/(tanA-secA+1)=?

    A
    `(1+cosA)/(sinA)`
    B
    `(1+sinA)/(cosA)`
    C
    `(1-cosA)/(1+cosA)`
    D
    `(1+sinA)/(1-sinA)`

  • (tanA-secA+1)/(tanA+secA-1)=?

    A
    `(1+sinA)/(cosA)`
    B
    `(1-sinA)/(cosA)`
    C
    `(1+cosA)/(sinA)`
    D
    `(1-cosA)/(sinA)`

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