Home
Class 11
MATHS
In a DeltaA B C prove that cos ((A+B)/2)...

In a `DeltaA B C` prove that `cos ((A+B)/2)=sin (C/2).`

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS

    RD SHARMA ENGLISH|Exercise All Questions|120 Videos

  • TRIGONOMETRIC RATIOS OF COMPOUND ANGLES

    RD SHARMA ENGLISH|Exercise All Questions|149 Videos

Similar Questions

Explore conceptually related problems

In a DeltaA B C prove that cos(A+B)+cos C=0.

In a ∆ABC prove that cos((A+B)/(2))=sin(C)/(2)

In a "DeltaA B C prove that tan(("A"+"B")/2)=cot("C"/2)

In a DeltaA B C ,\ prove that , sin^3Acos(B-C)+sin^3B cos(C-A)+sin^3\ C cos(A-B) = 3\ sin A\ sin B \ sin C

In any Delta A B C , prove that: (cos A)/a+(cos B)/b+(cos C)/c=(a^2+b^2+c^2)/(2a b c)

In a Delta A B C , prove that: ((b^2-c^2)/(a^2))sin2A+((c^2-a^2)/(b^2))sin2B+((a^2-b^2)/(c^2))sin2C=0

In any DeltaABC , prove that : (b^2 - c^2)/a^2 = (sin (B-C))/(sin(B+C))

In any DeltaABC , prove that (sin B)/(sin C) = (c-a cos B)/(b-a cos C)

In any DeltaABC , prove that (a-b)^(2)cos^(2)(C/2)+(a+b)^(2)sin^(2)(C /2)=c^(2) .

In any DeltaABC , prove that c^(2)=(a-b)^(2)cos^(2)""1/2C+(a+b)^(2)sin^(2)""1/2C

RD SHARMA ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. Prove that: 3sin(pi/6)sec(pi/3)-4sin((5pi)/6)cot(pi/4)=1

    Text Solution

    |

  2. In a DeltaA B C prove that cos(A+B)+cos C=0.

    Text Solution

    |

  3. In a DeltaA B C prove that cos ((A+B)/2)=sin (C/2).

    Text Solution

    |

  4. In a "DeltaA B C prove that tan(("A"+"B")/2)=cot("C"/2)

    Text Solution

    |

  5. If A ,\ B ,\ C ,\ D be the angles of a cyclic quadrilateral, taken in ...

    Text Solution

    |

  6. Find x from the following equation: cos e c(90^0+theta)+x costhetacot(...

    Text Solution

    |

  7. Find x from the following equation: xcot(90^0+theta)+tan(90^0+theta)si...

    Text Solution

    |

  8. Prove that: t a n 720^0-cos 270^0-sin 150^0cos 120^0=1/4

    Text Solution

    |

  9. Prove that: sin 780^0sin 480^0+cos 120^0sin 150^0=1/2

    Text Solution

    |

  10. Prove that: sin780^0sin 120^0+cos 240^0sin390^0=1/2

    Text Solution

    |

  11. Prove that: sin600^0cos 390^0+cos 480^0sin 150^0=-1

    Text Solution

    |

  12. Prove that : tan 225^@ cot 405^@+ tan 765^@ cot 675^@=0

    Text Solution

    |

  13. Write the maximum and minimum values of cos(cosx)

    Text Solution

    |

  14. Write the maximum and minimum values of sinx dot

    Text Solution

    |

  15. Write the maximum value of sin(cosx)dot

    Text Solution

    |

  16. If sin x=cos^2x ,\ then write the value of cos^2x\ (1+cos^2x)dot

    Text Solution

    |

  17. If sin x+cosec\ x=2, then write the value of sin^n x+cos e c^n xdot

    Text Solution

    |

  18. If sintheta1+sintheta2+sintheta3=3, then costheta1+costheta2+costheta3...

    Text Solution

    |

  19. Write the value of sin 10^0+sin 20^0+sin 30^0+....+sin 360^@

    Text Solution

    |

  20. A circular wire of radius 15cm is cut and bent so as to lie along the ...

    Text Solution

    |