Home
Class 12
MATHS
The expression 3{sin^(6)""((pi)/(2)+alph...

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

A

0

B

1

C

3

D

`sin 4 alpha +cos6 alpha`

Text Solution

Verified by Experts

The correct Answer is:
B
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    OBJECTIVE RD SHARMA|Exercise Exercise|190 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|60 Videos

Similar Questions

Explore conceptually related problems

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)((3pi)/(2)-alpha)+sin^(4)(3pi+alpha)]-2[sin^(6)((pi)/(2)+alpha)+sin^(6)(5pi-alpha)] .

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

    A
    0
    B
    1
    C
    3
    D
    `sin4 alpha +cos 6 alpha`

  • 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

    A
    0
    B
    1
    C
    3
    D
    `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

    A
    0
    B
    1
    C
    3
    D
    `sin 4alpha+cos 6alpha`

    • 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 value of sin^(2)alpha+sin((pi)/(3)-alpha)sin((pi)/(3)+alpha) is

    If tan alpha=2 and alpha in(pi,(3 pi)/(2)), then value of the expression (cos alpha)/(sin^(3)alpha+cos^(3)alpha) is equal to (a)/(b) where a and b are coprimes,then value of b-a is

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

    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

    Home
    Profile