Home
Class 11
MATHS
Show that 3{sin^4((3pi)/2-alpha)+sin^4(3...

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

Promotional Banner

Topper's Solved these Questions

  • ANNUAL EXAMINATION QUESTION PAPERS 2017

    UNITED BOOK HOUSE|Exercise EXERCISE|50 Videos

  • Bethune Collegiate School, Question Paper

    UNITED BOOK HOUSE|Exercise Exercise |21 Videos

Similar Questions

Explore conceptually related problems

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

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

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

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

Prove that, 1/3 ( cos^(3) alpha sin 3 alpha + sin^(3) alpha cos 3 alpha) = 1/4 sin 4 alpha

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

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

Calculate the value of (sin^(6)alpha +cos^(6) alpha + 3sin^(2) alpha cos^(2) alpha).

Prove that cos (alpha+beta) +sin (alpha-beta)=2sin(pi/4+alpha)cos(pi/4+beta)

UNITED BOOK HOUSE-ANNUAL EXAMINATION QUESTION PAPERS 2018-EXERCISE
  1. A variable straight line passes through the point of intersection of t...

    Text Solution

    |

  2. The abscissae of two points A and B are the roots of the equation x^2+...

    Text Solution

    |

  3. If 2f(x)+f(-x)=1+x,find f'(10),where f'(x) denote derivative of f(x).

    Text Solution

    |

  4. Evaluate lim(xrarrpi//4)(4sqrt2-(cosx+sinx)^5)/(1-sin2x)

    Text Solution

    |

  5. Write the negation of each of the following statements:p:for every rea...

    Text Solution

    |

  6. Write the negation of each of the following statements:q:For every rea...

    Text Solution

    |

  7. "Mathematics is fun"check whether this sentence is a statement .

    Text Solution

    |

  8. p: If x is a real number such that x^3+4x=0,then x=0,prove that p is t...

    Text Solution

    |

  9. p: If x is a real number such that x^3+4x=0,then x=0,prove that p is t...

    Text Solution

    |

  10. A bag contains 5 white and 4 black balls.If 3 balls are drawn at rando...

    Text Solution

    |

  11. The arithmetic mean and standard deviation of 7 observations are respe...

    Text Solution

    |

  12. Prove that if x=a(costheta+sin thetasin2theta)and y=a(sintheta+costhet...

    Text Solution

    |

  13. Show that 3{sin^4((3pi)/2-alpha)+sin^4(3pi+alpha)}-2{sin^6(pi/2+alpha)...

    Text Solution

    |

  14. Draw the graph of the solution set of the inequations 2x+yge2,x-yle1,x...

    Text Solution

    |

  15. Find the number of permutations and the number of combinations in the ...

    Text Solution

    |

  16. Find the sum of the integers between 90 and 890 which are perfect squa...

    Text Solution

    |

  17. If z1and z2be two non-zero complex numbers such that |z1+z2|=|z1|+|z2|...

    Text Solution

    |

  18. The directrix of a parabola is x+y+4=0and vertex is at (-1,-1).Find th...

    Text Solution

    |

  19. Prove tha the major axis of an ellipse is greater than its minor axis.

    Text Solution

    |

  20. Find the eccentricity of a hyperbola whose conjugate axis and latus re...

    Text Solution

    |