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Find the value of the expression 3[sin...

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)]`.

A

0

B

1

C

3

D

`sin 4 alpha + sin 6 alpha`

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • The expression 3{sin^(4)((3pi)/(2)-alpha)+sin^(4)(3pi-alpha)} -12{sin^(6)((pi)/(2)+alpha)+sin^(6)(5pi-alpha)} is equal to

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    B
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    `sin 4 alpha + sin 6 alpha`

  • 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

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    `sin 4alpha+cos 6alpha`

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    Explore conceptually related problems

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