Home
Class 11
MATHS
The expression 3{sin^4((3pi/2)-alpha)+si...

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`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    PATHFINDER|Exercise QUESTION BANK|68 Videos
  • TRIGONOMETRIC RATIOS OF COMPOUND ANGLES

    PATHFINDER|Exercise QUESTIONBANK|25 Videos

Similar Questions

Explore conceptually related problems

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

Prove that, 3[sin^(4)((3pi)/2 - alpha) + sin^(4)(3pi + alpha)] - 2[sin^(6)((pi)/2 + alpha) + sin^(6) (5pi - alpha)] = 1

sin3alpha = 4 sin alpha sin(x+alpha)sin(x-alpha)

If alpha in (-(3pi)/2,-pi) , then the value of tan^(-1)(cotalpha)-cot^(-1)(tanalpha)+sin^(-1)(sinalpha)+cos^(-1)(cosalpha) is equal to

If alpha in (0,pi/2) , then the value of tan^(-1)(cotalpha)-cot^(-1)(tanalpha)+sin^(-1)(sinalpha)-cos^(-1)(cosalpha) is equal to (a) 2pi+alpha (b) pi+alpha (c) 0 (d) pi-alpha

If 0 lt alpha lt pi/2 , then sqrt(2cotalpha+1/(sin^2alpha)) is equal to

Show that sin^3alpha+sin^3(120^@+alpha)+sin^3(240^@+alpha)=-3/4sin3alpha

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)

Simplify: (cos(2pi + alpha)"cosec" (pi - alpha) tan (pi/2 + alpha))/("sec" (pi/2 + alpha) sin ((3pi)/2 - alpha) cot (2pi - alpha))

PATHFINDER-TRIGONOMETRIC RATIOS AND IDENTITIES-QUESTION BANK
  1. If A+B+C=180^@ and tanA +tan B+tan Cgek where A,B,C are acute angles t...

    Text Solution

    |

  2. The value of sin theta and tan theta if cos theta=(-12/13) and theta l...

    Text Solution

    |

  3. The expression 3{sin^4((3pi/2)-alpha)+sin^4(3pi-alpha)} -2{sin^6(pi/2+...

    Text Solution

    |

  4. cos 510^@cos330^@+sin 390^@cos120^@=

    Text Solution

    |

  5. If ABCD is a cyclic quadrilateral then the value of cosA+cosB+cos C+co...

    Text Solution

    |

  6. If (secA-tan A)(secB -tan B)(sec C-tan C)(sec A+tan A)(sec B+tan B)(se...

    Text Solution

    |

  7. The value of the expression 1-sin^2y/(1+cosy)+(1+cosy)/siny-siny/(1-co...

    Text Solution

    |

  8. sin^2A+sin^2(A-B)+2sinAcosBsin(B-A) is equal to

    Text Solution

    |

  9. Let A and B denote the statements A:cos alpha+cos beta+cos gamma=0,B:s...

    Text Solution

    |

  10. If tan beta=(nsin alphacosbeta)/(1-ncos^2alpha) then tan(alpha+beta) i...

    Text Solution

    |

  11. The value of sin20^@sin 40^@sin 60^@sin 80^@ is

    Text Solution

    |

  12. In a triangle ABC,sin A-cos B=cosC,then angle B is

    Text Solution

    |

  13. If Un=2 cosntheta then U1Un-U(n-1) is equal to

    Text Solution

    |

  14. Ifpilt2thetalt(3pi)/2then sqrt(2+sqrt(2+2cos4theta) is equal to

    Text Solution

    |

  15. Ifcos5theta=acos^5theta+bcos^3theta+ccostheta then c is equal to

    Text Solution

    |

  16. Let n be an odd integer if sin ntheta=underset(r=0)oversetnsumbrsin^rt...

    Text Solution

    |

  17. if x in (-pi/2,pi/2) then the minimum value of cos^2x+(secx/4)is

    Text Solution

    |

  18. The number of real solutions of the equation sin (e^x)=2^x+2^(-x) is

    Text Solution

    |

  19. The maximum value of 4sin^2x+3cos^2x+sin(x/2)+cos(x/2) is

    Text Solution

    |

  20. If sin^2theta=sinphi cosphi then the value of cos2theta is

    Text Solution

    |