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Show that tan 75^(@) = (sqrt3) +(1 )/( s...

Show that `tan 75^(@) = (sqrt3) +(1 )/( sqrt3 -1) = 2 + sqrt3.` Hence deduce that `tan 75^(@) - cot 75^(@) = 4 sin 60^(@).`

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Knowledge Check

  • Value of tan 75^(@) + cot 75^(@) = ?

    A
    `(1)/(4)`
    B
    `sqrt(3)`
    C
    4
    D
    `-4`
  • The value of "tan"75^(@)-"cot"75^(@) is equal to

    A
    `2/sqrt(3)`
    B
    `2 * sqrt(3)`
    C
    `2-sqrt(3)`
    D
    1
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