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Prove that ((sec A -1))/( (sec A+1) ) =(...

Prove that `((sec A -1))/( (sec A+1) ) =((1-cos A)/((1+cos A ))) `

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Knowledge Check

  • intx ((sec 2x-1)/(sec 2x+1))dx=

    A
    ` x tan x-log|secx| (x^(2))/(2)+c`
    B
    `x tan x-log|sec x|- (x^(2))/(2)+c`
    C
    `x tan x+log|sec x|-(x^(2))/(2)+c`
    D
    `x tan x+log|sec x|(x^(2))/(2)+c`

  • ((sin 2A)/(sec A -1))((sec 2A)/(sec 2A+1))=

    A
    `sin A//2 `
    B
    `cos A//2`
    C
    `tan A//2`
    D
    `cot A//2 `

  • (sec A + tan A -1) (sec A - tan A+1)=

    A
    `2 sin A `
    B
    `2 cos A `
    C
    `2 sec A `
    D
    `2 tan A `

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