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If tan (cot x) = cot (tan x), then sin 2...

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)`

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • If tan(cotx)=cot(tanx), then sin2x 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)`

  • If "cos" x=tan y , cot y=tan z and cot z=tan x, then "sin" x is equal to

    A
    `(sqrt5+1)/4`
    B
    `(sqrt5-1)/4`
    C
    `(sqrt5+1)/2
    D
    `(sqrt5-1)/2`

  • cot x+ tan x=

    A
    `cot 2x`
    B
    `2 cot ^(2) x`
    C
    `sec x cosec x`
    D
    `cot ^(2) 2x`

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    If 3 tan^(-1) x+cot^(-1) x = pi , then x is equal to

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