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Find the number of solution of the equat...

Find the number of solution of the equations
`|cot x|= cot x +(1)/(sin x),` when ` in [0,2pi]`

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The correct Answer is:
3
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number of real solutions of the equation |cot x|=cot x+(1)/(sin x)'(0

The number of solutions of the equation |cot x|=cot x+(1)/(sin x)(0<=x<=2 pi) is

Knowledge Check

  • Find the general solution of the equation tan x + cot x =2 .

    A
    `x = n pi + (pi)/(4)`
    B
    `x = n pi + (pi)/(3)`
    C
    `x = n pi - (pi)/(4)`
    D
    `x = n pi - (pi)/(2)`
  • Number of solutions of the equation |cot x| = cot x + csc x , where 0 le x le 2pi is

    A
    0
    B
    1
    C
    2
    D
    3
  • If n be the number of solutions of the equation abs(cot x) = cot x + 1/(sinx) ( 0 lt x lt 2pi) , then n=

    A
    1
    B
    2
    C
    3
    D
    4
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