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

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

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE ENGLISH|Exercise All Questions|491 Videos

Similar Questions

Explore conceptually related problems

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)] .

(1)/(sin3alpha)[sin^(3)alpha+sin^(3)((2pi)/(3)+alpha)+sin^(3)((4pi)/(3)+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

If sin 3 alpha =4 sin alpha sin (x+alpha ) sin(x-alpha ) , then

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 :

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 (a) 2pi+alpha (b) pi+alpha (c) 0 (d) pi-alpha

If alpha in (-(3pi)/2,-pi) , then the value of tan^(-1)(cotalpha)-cot^(-1)(tanalpha)+sin^(-1)(sinalpha)+cos^(-1)(c0salpha) is equal to 2pi+alpha (b) pi+alpha (c) 0 (d) pi-alpha

The expression (sin alpha+cos alpha)/(cos alpha-sin alpha) tan((pi)/(4)+alpha)+1, alpha in (-(pi)/(4), (pi)/(4)) simplifies to :

The value of (sin(pi-alpha))/(sin alpha-cos alpha tan.(alpha)/(2))-cos alpha is

CENGAGE ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. Two parallel chords of a circle of radius 2 are at a distance. sqrt(3+...

    Text Solution

    |

  2. Prove that: sum(k=1)^(100)sin(k x)cos(101-k)x=50"sin"(101 x)

    Text Solution

    |

  3. The expression 3[sin^4(3/2pi-alpha)+sin^4(3pi+alpha)]-2[sin^6(1/2pi+al...

    Text Solution

    |

  4. Solve sqrt(3)costheta-3sintheta=4sin2thetacos3thetadot

    Text Solution

    |

  5. Consider a triangle A B C and let a , ba n dc denote the lengths of th...

    Text Solution

    |

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

    Text Solution

    |

  7. Find the number of integral value of n so that sinx(sinx+cosx)=n has a...

    Text Solution

    |

  8. In triangle ABC,angleC=(2pi)/3 and CD is the internal angle bisector ...

    Text Solution

    |

  9. Let P = [theta : sintheta – costheta = sqrt2 costheta) andQ= {theta : ...

    Text Solution

    |

  10. C(10,2) = C(n,2).Find n.

    Text Solution

    |

  11. Find the smallest positive values of xa n dy satisfying x-y=pi/4a n dc...

    Text Solution

    |

  12. Let C be incircle of A B Cdot If the tangents of lengths t1,t2 and t3...

    Text Solution

    |

  13. If cos(x-y),cosx and "cos"(x+y) are in H.P., then cosxsec(y/2) is

    Text Solution

    |

  14. For what value of k the equation sinx+cos(k+x)+cos(k-x)=2 has real sol...

    Text Solution

    |

  15. tan^6(pi/9)-33tan^4(pi/9)+27tan^2(pi/9) is equal to (a)0 (b) sqrt3 (...

    Text Solution

    |

  16. If x, y in [0,2pi] then find the total number of order pair (x,y) sati...

    Text Solution

    |

  17. For a positive integer n , let fn(theta)=(tantheta//2)(1+sectheta)(1+s...

    Text Solution

    |

  18. If area of a triangle is 2 sq. units, then find the value of the pr...

    Text Solution

    |

  19. Find the values of x in (-pi,pi) which satisfy the equation 8^(1+|cosx...

    Text Solution

    |

  20. Given that a , b , c , are the side of a A B C which is right angle...

    Text Solution

    |