Home
Class 10
MATHS
If A , B and C are interior angles of tr...

If A , B and C are interior angles of triangle ABC ,then show that sin ` ((B+C)/( 2) )=cos (A) /(2) `

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    BEYOND PUBLICATION|Exercise EXERCISE|209 Videos
  • TANGENTS AND SECANTS TO CIRCLE

    BEYOND PUBLICATION|Exercise EXERCISE|157 Videos

Similar Questions

Explore conceptually related problems

If A , B and C are interior angles of a triangle ABC, then show that tan ((A+B) /(2)) =cot C//(2)

If A, B and C are interior angles of a triangle ABC, then show that tan((A + B)/(2)) = cot ""(C)/(2)

If A, B, C are interior angle of triangle ABC then show that sin ((A+B)/2) + cos (( A+ B)/2) = cos (C/2) + sin (C/2)

If A , B , C are angles in a triangle , then prove that sin A + sin B + sin C =4 cos. (A)/(2) cos . (B)/(2) cos .(C)/(2)

If A, B , C are angles in a triangle, then prove that sin ^(2)A+ sin ^(2)B+sin^(2)C=2+2 cos A cos B cos C

If A, B, C are angles in a triangle , prove that sin A+ sin B -sin C =4sin. (A)/(2)sin. (B)/(2) cos. (C)/(2)

If A, B , C are angles of a triangle, then P. T sin ^(2) . (A)/(2)+ sin^(2). (B)/(2) - sin ^(2). (C)/(2) =1-2 cos. (A)/(2) cos. (B)/(2) sin .(C)/(2)

If A,B, C are angles in a triangle, then prove that: sin^(2) A + sin^(2) B - sin^(2) C =2 sin A sin B cos C

If A, B, C are angles of a triangle , prove that sin 2A+sin 2B-sin 2C=4cos Acos B sin C

If A, B, C are angles of a triangle, then prove that sin^(2)""A/2+sin^(2)""B/2-sin^(2)""C/2=1-2cos""A/2cos""B/2sin""C/2 .

BEYOND PUBLICATION-TRIGONOMETRY-EXERCISE
  1. Express: sec 76^@ + cosec 52^@ in terms of angles between 0^@ and 45^@...

    Text Solution

    |

  2. Express: tan 65^@ + cot 49^@ in terms of angles between 0^@ and 45^@

    Text Solution

    |

  3. If A , B and C are interior angles of triangle ABC ,then show that sin...

    Text Solution

    |

  4. If A , B and C are interior angles of triangle ABC ,then show that sin...

    Text Solution

    |

  5. If tan theta + cot theta = 2, find the value of tan^2 theta + cot^2 th...

    Text Solution

    |

  6. Show that (cot A + tan B)/(cot B + tan A) = cot A. tan B.

    Text Solution

    |

  7. ((1+ sin theta - cos theta )/( 1+ sin theta + cos theta ))^(2)=

    Text Solution

    |

  8. Show that (cot A - cos A)/(cot A + cos A) = ( cosec A - 1)/(1 + cosec...

    Text Solution

    |

  9. show that 1 + (cot^2 theta/ (1 + cosec theta)) = cosec theta

    Text Solution

    |

  10. show that (1 + cos theta - sin^2 theta)/[(1 + cos theta)sin theta] = c...

    Text Solution

    |

  11. Show that (1 + sin theta)/ cos theta + cos theta / (1 + sin theta) = 2...

    Text Solution

    |

  12. Prove that [(1 + tan^2 theta)cot theta]/(cosec^2 theta) = tan theta

    Text Solution

    |

  13. Prove that (1 + sec theta) / sec theta = sin^2 theta /(1 - cos theta)

    Text Solution

    |

  14. Prove that cos A/(1 - tan A) + sin A /(1 - cot A)= sin A + cos A

    Text Solution

    |

  15. If 5 tan theta= 4, then the value of (5 sin theta - 3 cos theta)/(5 si...

    Text Solution

    |

  16. The value of (2tan30^@)/(1+tan^2 30^@)=

    Text Solution

    |

  17. The value of sin 45^@+cos45^@ is

    Text Solution

    |

  18. tantheta is not defined when theta is

    Text Solution

    |

  19. tan 135^@

    Text Solution

    |

  20. sin (A-B) = 1/2, cos (A+B) = 1/2,0^(0)<A + B <90^(0), A>B అయిన A మరియు...

    Text Solution

    |