Home
Class 10
MATHS
If A, B, C are interior angle of triang...

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) `

Promotional Banner

Topper's Solved these Questions

  • TANGENTS AND SECANTS TO A CIRCLE

    VGS PUBLICATION-BRILLIANT|Exercise EXERCISE|201 Videos

  • TRIGONOMETRY (MULTIPLE CHOICE QUESTION)

    VGS PUBLICATION-BRILLIANT|Exercise TRIGONOMETRY (MULTIPLE CHOICE QUESTION)|25 Videos

Similar Questions

Explore conceptually related problems

If A , B and C are interior angles of triangle ABC ,then show that sin ((B+C)/( 2) )=cos (A) /(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 and C are interior angles of a triangle ABC, then show that tan ((A+B) /(2)) =cot 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 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 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 , prove that sin 2A+sin 2B-sin 2C=4cos Acos B sin C

VGS PUBLICATION-BRILLIANT-TRIGONOMETRY-EXERCISE
  1. If x = a sec O/ and y = b tan O/ then prove that x^2/a^2 - y^2/b^2...

    Text Solution

    |

  2. Prove that sqrt((cosec A + 1)/(cosec A - 1)) - sqrt((cosec A - 1)/(co...

    Text Solution

    |

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

    Text Solution

    |

  4. What can you say about the values of sin A and cos A as the measure of...

    Text Solution

    |

  5. Find measure of the angle A and B, if cos ( A - B ) = sqrt3/2 and sin ...

    Text Solution

    |

  6. tan^(2) 60^(0) + cot^(2) 30^(0) //sin^(2) 30^(0) + cos^(2) 60^(0) విలు...

    Text Solution

    |

  7. Prove that 1/sin^2 O/ - cot^2 O/ = 1

    Text Solution

    |

  8. If cosec (A+B) =1 and cot (A-B) = sqrt3, 0^o < A+B < 90^o, A>B then ...

    Text Solution

    |

  9. Find the value of (sec 15^o/(cosec 75^o)) + (sin 72^o/cos 18^o) - (ta...

    Text Solution

    |

  10. If cot O/ = 9/12 then find the value of (sin O/ + cos O/)/(sin O/ - ...

    Text Solution

    |

  11. Evaluate (tan^2 60 + 4 cos^2 45 + 3 sec^2 30 + 5 cos^2 90)/(cosec 30 ...

    Text Solution

    |

  12. If sin O//(1-cos O/) + sin O//(1+cosO/) = 4 (0^o < O/ < 90^o) then ...

    Text Solution

    |

  13. Prove that (1+tan^2 O/) + (1+1/tan^2 O/) = 1/(sin^2 O/ - sin^4 O/)

    Text Solution

    |

  14. If cotA=5/12 then sinA+cosA = ………………

    Text Solution

    |

  15. Which of the following is not possible value for sin x …………

    Text Solution

    |

  16. Which of the following in NOT defined?

    Text Solution

    |

  17. If sinA=24/25then cotA

    Text Solution

    |

  18. If sintheta=costheta (0^0< theta<90^0) then tantheta+cottheta = ……………

    Text Solution

    |

  19. If sectheta+tantheta=3 then sectheta-tantheta = …………….

    Text Solution

    |

  20. In triangleABCAB=c,BC=a,AC=b and angleBAC=theta then which is not the ...

    Text Solution

    |