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find the value of the expression `3[sin^4(3pi/2-alpha)+sin^4(3pi+alpha)]-2[sin^6(pi/2+alpha)+sin^6(5pi-alpha)]`

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Knowledge Check

  • The real value of alpha for which the expression (1-sin alpha)/(1+2i sin alpha) is purely real is

    A
    `(n+1)(pi)/(2)`
    B
    `(2n+1)(pi)/(2)`
    C
    `npi`
    D
    None of these

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