Home
Class 12
MATHS
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

`sin4 alpha +cos 6 alpha`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|60 Videos

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|13 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|60 Videos

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

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

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)}

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

If cos3theta=cos3alpha, then the value of sintheta can be given by +-sinalpha (b) sin(pi/3+-alpha) sin((2pi)/3+alpha) (d) sin((2pi)/3-alpha)

If cos3theta=cos3alpha, then the value of sintheta can be given by +-sinalpha (b) sin(pi/3+-alpha) sin((2pi)/3+alpha) (d) sin((2pi)/3-alpha)

The value of the expression 2^199 sin (pi/199)sin((2pi)/199)sin((3pi)/199)………..sin((198pi)/199))=

The value of expression (tan alpha+sin alpha)/(2"cos"^(2)(alpha)/(2)) for alpha=(pi)/(4) is :

The value of the expression (sin7alpha+6sin 5 alpha+17sin3alpha+12sin alpha)/(sin6alpha+5sin 4alpha+12 sin 2 alpha) , where alpha=(pi)/(5) is equal to :

OBJECTIVE RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS AND IDENTITIES-Exercise
  1. If abs(cos theta{sin theta+sqrt(sin^2theta+sin^2alpha)})lek, then the ...

    Text Solution

    |

  2. The value of sin10^@+sin20^@+sin30^@...+sin360^@ is equal to -

    Text Solution

    |

  3. Find the value of the expression 3[sin^(4)((3pi)/(2)-alpha)+sin^(4)(...

    Text Solution

    |

  4. If A+B=(pi)/(4),then (tanA+1)(tanB+1) is equal to

    Text Solution

    |

  5. If sinA+sinB=a and cosA+cosB=b,then cos(A+B)

    Text Solution

    |

  6. If an angle theta is divided into two parts A and B such that A-B=x an...

    Text Solution

    |

  7. The value of the expression is

    Text Solution

    |

  8. If tan((theta)/(2))=5/2and tan((phi)/(2))=3/4, the value of cos(theta+...

    Text Solution

    |

  9. If alpha,beta,gamma, in (0,pi/2) , then prove that (s i(alpha+beta+gam...

    Text Solution

    |

  10. If sin x+siny=3(cosy-cosx),then the value of (sin3x)/(sin3y), is

    Text Solution

    |

  11. If cosx=tany ,cosy=tanz ,cosz=tanx , then the value of sinx is 2cos18^...

    Text Solution

    |

  12. If k=sin^(6)x+cos^(6)x, then k belongs to the interval

    Text Solution

    |

  13. The value of tan9^@-tan2 7^@-tan6 3^@+tan8 1^@ is equal to

    Text Solution

    |

  14. If tan^(2)alpha tan^(2)beta+tan^(2)gamma+tan^(2)gamma tan^(2)alpha+2ta...

    Text Solution

    |

  15. the value of e^(log(10)tan1^@+log(10)tan2^@+log(10)tan3^@....+log(10)t...

    Text Solution

    |

  16. For what and only what values of alpha lying between 0 and pi/2 is the...

    Text Solution

    |

  17. If (secA+tanA)(secB+tanB)(secC+tanC)=(secA-tanA)(secB-tanB)(secC-tanC)...

    Text Solution

    |

  18. If pi lt alpha lt (3pi)/(2), then find the value of expression sqrt(4 ...

    Text Solution

    |

  19. If alpha is an acute angle and sin(alpha/2)=sqrt((x-1)/(2x)) then tan ...

    Text Solution

    |

  20. Find the Value of tan 82 1/2^@

    Text Solution

    |