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If sin^ 4 x/2+cos^4 x/3 =1/5 then...

If `sin^ 4 x/2+cos^4 x/3 =1/5` then

A

`tan^(2)x=2/3`

B

`(sin^(8)x)/(8)+(cos^(8)x)/(27)=1/25`

C

`tan^(2)x=1/3`

D

`(sin^(8)x)/(8)+(cos^(8)x)/(27)=2/125`

Text Solution

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The correct Answer is:
A, B
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Knowledge Check

  • If sin^4x/2+cos^4x/3=1/5 then

    A
    `tan^2x=2/3`
    B
    `sin^8x/8+cos^8x/27=1/125`
    C
    `tan^2x=1/3`
    D
    `sin^8/8+cos^8x/27=2/125`

  • If 3 sin x+ 4 cos x =5 then 4 sin x -3 cos x is equal to

    A
    0
    B
    1
    C
    5
    D
    none of these

  • If 3sin x+4 cos x=2, then the value of 3 cos x -4 sin x is equal to:

    A
    21
    B
    `sqrt(21)`
    C
    `sqrt(23)`
    D
    `sqrt(29)`

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