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`

Verified by Experts

The correct Answer is:

B

Similar Questions

Explore conceptually related problems

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

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

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

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

The expression 3{sin^(6)""((pi)/(2)+alpha)+sin^(6)(5pi-alpha) is equal to

(1)/(sin3alpha)[sin^(3)alpha+sin^(3)((2pi)/(3)+alpha)+sin^(3)((4pi)/(3)+alpha)] is equal to

sin ^ (3) ((2 pi) / (3) + alpha) = (1) / (4) (3sin ((2 pi) / (3) + alpha) -sin (2 pi + 3 alpha)