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If x=a(costheta+sinthetasin2theta)andy=a...

If `x=a(costheta+sinthetasin2theta)andy=a(sintheta+costhetasin2theta)`, then show that `(x+y)^((2)/(3))+(x-y)^((2)/(3))=2a^((2)/(3))`.

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The correct Answer is:
`(x+y)^((2)/(3))+(x-y)^((2)/(3))=2a^((2)/(3))`
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Knowledge Check

  • (sin5theta+sin2theta-sintheta)/(cos5theta+2cos3theta+2cos^2theta+costheta) is equal to

    A
    `tantheta`
    B
    `costheta`
    C
    `cottheta`
    D
    none of these

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