Home
Class 11
MATHS
If (cosalpha+cosbeta)^2+(sinalpha+sinbet...

If `(cosalpha+cosbeta)^2+(sinalpha+sinbeta)^2=lambdacos^2((alpha-beta)/2),` write the value of `lambdadot`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • THE STRAIGHT LINES

    RD SHARMA ENGLISH|Exercise All Questions|493 Videos

  • TRIGONOMETRIC EQUATIONS

    RD SHARMA ENGLISH|Exercise All Questions|120 Videos

Similar Questions

Explore conceptually related problems

Prove that: (cosalpha+cosbeta)^2+(sinalpha+sinbeta)^2=4cos^2((alpha-beta)/2)

Prove that (cosalpha+cosbeta)^2+(sinalpha+sinbeta)^2=4cos^2((alpha-beta)/2)dot

Prove that: (cosalpha+cosbeta)^2+(sinalpha+sinbeta)^2=4cos^2\ \ ((alpha-beta)/2)

Prove that: (cosalpha-cosbeta)^2+(sinalpha-sinbeta)^2=4sin^2((alpha-beta)/2)^(\ )

If sinalpha-sinbeta=a and cosalpha+cosbeta=b then write the value of "cos"(alpha+beta) .

If alpha+beta-gamma=pi and sin^2alpha+sin^2beta-sin^2gamma=lambda sinalpha sinbeta cosgamma, then write the value of lambda

If cosalpha+cosbeta=a ,sinalpha+sinbeta=b and alpha-beta=2theta, then (cos3theta)/(costheta)=

If A=[(cosalpha,-sinalpha),(sinalpha,cosalpha)] is identity matrix, then write the value of alpha .

sinalpha+sinbeta=a ,cosalpha+cosbeta=b=>sin(alpha+beta)

If A=[(0,sin alpha, sinalpha sinbeta),(-sinalpha, 0, cosalpha cosbeta),(-sinalpha sinbeta, -cosalphacosbeta, 0)] then (A) |A| is independent of alpha and beta (B) A^-1 depends only on beta (C) A^-1 does not exist (D) none of these

RD SHARMA ENGLISH-TRANSFORMATION FORMULAE-All Questions
  1. If (cos(A-B))/("cos"(A+B))+("cos"(C+D))/("cos"(C-D))=0,\ prove tht ta...

    Text Solution

    |

  2. If cos(alpha+beta)sin(gamma+delta)="cos"(alpha-beta)"sin"(gamma-delta)...

    Text Solution

    |

  3. If (cosalpha+cosbeta)^2+(sinalpha+sinbeta)^2=lambdacos^2((alpha-beta)/...

    Text Solution

    |

  4. If sin A+sin B=alpha\ a n d\ cos A+cos B=beta, then write the value of...

    Text Solution

    |

  5. If cos A=m cos B , then write the value of cot((A+B)/2)cot((A-B)/2dot)

    Text Solution

    |

  6. Write the value of the expression (1-4sin1 0^0sin7 0^0)/(2sin1 0^0)

    Text Solution

    |

  7. If A+B=pi/3a n dcosA+cos B=1, then find the value of cos((A-B)/2dot)

    Text Solution

    |

  8. Write the value of sin 12^0sin48^0sin54^0dot

    Text Solution

    |

  9. If sin2A=lambdasin2B , then write the value of (lambda+1)/(lambda-1) .

    Text Solution

    |

  10. Write the value of (sin A+sin3A)/(cos A+cos3A) .

    Text Solution

    |

  11. If cos(A+B)sin(C-D)="cos"(A-B)"sin"(C+D) , then write the value of t a...

    Text Solution

    |

  12. cos 40^0+cos 80^0+cos 160^0+cos 240^0= a. 0 b. 1 c. 1//2 d. -1//2

    Text Solution

    |

  13. sin 163^0cos 347^0+sin 73^0sin 167^0= a.1//2 b. 1 c. 0 d. none of the...

    Text Solution

    |

  14. If sin2theta+sin2varphi=1/2a n d\ cos2theta+cos2varphi=3/2 , then cos^...

    Text Solution

    |

  15. The value of cos 52^0+cos 68^0+cos 172^0 is a. 0 b. 1 c. 2 d. 3//2

    Text Solution

    |

  16. The value of sin 78^0-sin 66^0-sin 42^0+sin6^0 is a. -1 b. 1//2 c. -1/...

    Text Solution

    |

  17. If sinalpha+sinbeta=a\ and\ cosalpha-cosbeta=b , then tan((alpha-beta)...

    Text Solution

    |

  18. cos 35^0+cos 85^0+cos 155^0 a. adot\ 0 b. 1/(sqrt(2)) c. 1/(sqrt(3)) ...

    Text Solution

    |

  19. The value of sin 50^(0)-sin 70^0+sin 10^0 is equal to a. 0 b. 1 c. 2 d...

    Text Solution

    |

  20. If sin47^0+sin 61^0-sin 11^0-sin 25^0 is equal to a. adot\ sin36^0 b. ...

    Text Solution

    |