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Let P(x)=((1-cos2x+sin2x)/(1+cos2x+s in2...

Let `P(x)=((1-cos2x+sin2x)/(1+cos2x+s in2x))^2+((1+cotx+cot^2x)/(1+tanx+tan^2x)),` then the minimum value of `P(x)` equal 1 (b) 2 (c) 4 (d) 16

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Knowledge Check

  • (d)/(dx)[(1+cos2x+sin2x)/(1+sin2x-cos2x)]=

    A
    `sec^(2)2x`
    B
    `2sec^(2)2x`
    C
    `-cosec^(2)x`
    D
    `4sec^(2)2x`

  • Let cos(2 tan^(-1) x)=1/2 then the value of x is

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

  • If int(dx)/(cos2x+3sin^(2)x)=(1)/(a)tan^(-1)(b tanx)+c, then ab=

    A
    0
    B
    1
    C
    2
    D
    3

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