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If alpha satisfies 15 sin^(4)alpha + 10 ...

If `alpha` satisfies `15 sin^(4)alpha + 10 cos^(4)alpha=6`, then find the value of `27 sin^(8)alpha + 8 cos^(8) alpha`

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The correct Answer is:
2
`216/125`
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Knowledge Check

  • If 15 sin^(4)alpha+10cos^(4)alpha=6 , then the value of 8 cosec^(6)alpha+27 sec^(6)alpha is

    A
    150
    B
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    C
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    0
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    `-1`
    D
    5

  • If sin^(2)alpha+ sin alpha=1 , then the value of cos^(4) alpha+ cos^(2) alpha is ________

    A
    0
    B
    `-1`
    C
    `1`
    D
    2

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