Home
Class 10
MATHS
If A ,\ B ,\ C are the interior angle...

If `A ,\ B ,\ C` are the interior angles of a triangle `A B C` , prove that `tan(B+C)/2=cotA/2`

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC IDENTITIES

    RD SHARMA|Exercise All Questions|254 Videos

Similar Questions

Explore conceptually related problems

If A,B,C are the interior angles of a triangle ABC, prove that tan((C+A)/(2))=(cot B)/(2)( ii) sin((B+C)/(2))=(cos A)/(2)

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

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

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

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

If A,B and C are the interior angles of triangle ABC, find tan((B+C)/(2))

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

In a Delta ABC, prove that tan((A+B)/(2))=cot((c)/(2))

If A,B,C are the angles of a Delta ABC , prove that tan ((C+A)/(2))=cot (B)/(2) .

RD SHARMA-TRIGONOMETRIC RATIOS-All Questions
  1. Evaluate the following: (i) ((sin35o)/(cos55o))^2+((cos55o)/(sin35o...

    Text Solution

    |

  2. Evaluate: ((sin47o)/(cos43o))^2+((cos43o)/(sin47o))^2-4cos^2 45o

    Text Solution

    |

  3. If A ,\ B ,\ C are the interior angles of a triangle A B C , prove ...

    Text Solution

    |

  4. Dind theta; if sin(theta + 36^@) = cos theta; where theta + 36 is an ...

    Text Solution

    |

  5. If tan2theta=cot(theta+6o) , where 2theta and theta+6o are acute an...

    Text Solution

    |

  6. If t a n A"\ "="\ "cot B , prove that A+B=90o

    Text Solution

    |

  7. If sec5A=cos e c\ (A+36^@) , where 5A is an acute angle, find the va...

    Text Solution

    |

  8. If s e c4A=cos e c(A-20^@) , where 4A is an acute angle, find the ...

    Text Solution

    |

  9. Evaluate the following: (i) (sin20^@)/(cos70^@) (ii) (cos19^@)/(sin71^...

    Text Solution

    |

  10. Evaluate the following: (i) (sin21o)/(cos69o) (ii) (tan10o)/(cot80o...

    Text Solution

    |

  11. Evaluate the following: (i) ((sin49o)/(cos41o))^2+((cos41o)/(sin49o...

    Text Solution

    |

  12. Evaluate the following: (i) (cot40o)/(tan50o)-1/2((cos35o)/(sin55o)...

    Text Solution

    |

  13. Evaluate the following: (i) (tan35o)/(cot55o)+(cot78o)/(tan12o)-1 ...

    Text Solution

    |

  14. Evaluate the following: (i) cos e c\ 31o-sec59o (ii) (sin72o+cos18...

    Text Solution

    |

  15. Evaluate the following: (i) sin35osin55o-cos35ocos55o (ii) tan48ot...

    Text Solution

    |

  16. Express each one of the following in terms of trigonometric ratios ...

    Text Solution

    |

  17. Express each one of the following in terms of trigonometric ratios ...

    Text Solution

    |

  18. Express cos75o+cot75o in terms of angles between 0o and 30o .

    Text Solution

    |

  19. If sin3A=cos(A-26^@) , where 3A is an acute angle, find the val...

    Text Solution

    |

  20. If A ,\ B ,\ C are the interior angles of a triangle A B C , prove ...

    Text Solution

    |