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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)]`

Answer

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The expression 3[sin^4(3/2pi-alpha)+sin^4(3pi+alpha)]-2[sin^6(1/2pi+alpha)+sin^6(5pi-alpha)] is equal to

The expression 3[sin^4(3/2pi-alpha)+sin^4(3pi+alpha)]-2[sin^6(1/2pi+alpha)+sin^6(5pi-alpha)] is equal to

Knowledge Check

  • The expression 3[sin^4((3pi)/2+alpha)+sin^4((3pi)+alpha)] is -2 [sin^6(pi/2+alpha)+sin^6(5pi-alpha)] equal to

    A
    0
    B
    1
    C
    3
    D
    `sin 4alpha+cos 6alpha`
  • The expression 3{sin^4((3pi/2)-alpha)+sin^4(3pi-alpha)} -2{sin^6(pi/2+alpha)+sin^6(5pi-alpha)} is equal to

    A
    0
    B
    1
    C
    3
    D
    `sin 4alpha=cos 6alpha`
  • The value of 3[sin^(4) ((3 pi)/(2)-alpha)+sin^(4) (3 pi +alpha)]-2[sin^(6) ((pi)/(2)+alpha)+sin^(6) (5 pi-alpha)] is

    A
    0
    B
    1
    C
    3
    D
    `sin 4 alpha + sin 6 alpha`
  • Similar Questions

    Explore conceptually related problems

    The expression 3[sin^4(3/2pi-alpha)+sin^4(3pi+alpha)]-2[sin^6(1/2pi+alpha)+sin^6(5pi-alpha)] is equal to

    Show that 3{sin^4((3pi)/2-alpha)+sin^4(3pi+alpha)}-2{sin^6(pi/2+alpha)+ sin^6(5pi-alpha)}=1

    Find the value of the expression 3{sin^4((3pi)/2-theta)+sin^4(3pi+theta)}-2{sin^6(pi/2+theta)+sin^6(5pi-theta)}

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    The expression 3[sin^(4)((3)/(2)pi-alpha)+sin^(4)(3pi+alpha)]-2[sin^(6)((1)/(2)pi+alpha)+sin^(6)(5pi-alpha)] is equal to