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(x tan alpha+y cot alpha) (x cot alpha+y...

`(x tan alpha+y cot alpha) (x cot alpha+y tan alpha) -4xy cot^(2)2alpha=`

A

`x^(2)+y^(2)`

B

`4xy`

C

`(x+y)^(2)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
c
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Knowledge Check

  • If tan alpha + cot alpha = 2 , then tan^(2) alpha + cot^(2) alpha is

    A
    2
    B
    16
    C
    64
    D
    128

  • If tan alpha +cot alpha =a then the value of tan^(4) alpha +cot^(4) alpha=

    A
    `a^(4)+4a^(2)+2`
    B
    `a^(4)-4a^(2)+2`
    C
    `a^(4)-4a-2`
    D
    none of these

  • If tan alpha + cot alpha=a , then the value of tan^(4)alpha + cot^(4)alpha is equal to

    A
    `a^(4)+4a^(2)+2`
    B
    `a^(4) -4a^(2)+2`
    C
    `a^(4) - 4a^(2)-2`
    D
    `-a^(2) + 2a^(2) + 4`

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    If tan alpha + cot alpha =2 , then tan^(20)alpha + cot^(20)alpha=

    If tan alpha + cot alpha =m , then: tan^(4)alpha +cot^(4)alpha=

    Statement I tan alpha+2tan 2 alpha+4 tan 4 alpha + 8 tan 8 alpha+16 cot 16 alpha=cot alpha Statement II cot alpha- tan alpha=2 cot 2 alpha

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