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If tan (cot x) = cot (tan x), prove that...

If `tan (cot x) = cot (tan x)`, prove that : `sin 2x = 4/((2n+1) pi)`

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Knowledge Check

  • If tan (cot x) = cot (tan x), then sin 2x is equal to :

    A
    `2/((2n+1)pi)`
    B
    `(4)/((2n+1) pi)`
    C
    `(2)/(n(n+1)pi)`
    D
    `(4)/(n(n+1)pi)`

  • sin 2x (tan x + cot x) = ?

    A
    `sin x cos x`
    B
    `cosec x sec x`
    C
    `2tan(2x)`
    D
    `2`

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