Home
Class 12
MATHS
If none of A,B, A+B is an integral multi...

If none of A,B, A+B is an integral multiple of `pi`, then prove that `(1- cos A+ cos B- cos (A+B))/(1+ cos A- cos B - cos (A+B))=tan.(A)/(2) cot. (B)/(2)`

A

`sin""(A)/(2) *cos""(B)/(2) `

B

`tan""(A)/(2) * cot""(B)/(2)`

C

`sec""(A)/(2) * "cosec"(B)/(2)`

D

none

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1 E ( TRIGONOMETRIC IDENTITIES )|49 Videos
  • TRIGONOMETRIC RATIOS AND IDENTITIES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1 F ( PERIODIC FUNCTIONS )|39 Videos
  • TRIGONOMETRIC RATIOS AND IDENTITIES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1 C ( MULTIPLE AND SUBMULTIPLE ANGLES )|118 Videos
  • TRIGONOMETRIC EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 4|4 Videos

Similar Questions

Explore conceptually related problems

If A+B+C=0 , then prove that cos ^(2)A+ cos ^(2) B + cos ^(2) C =1+2 cos A cos B cos C

cos^(2) (A-B)+cos^(2)B-2cos(A-B) cos A cos B =

Prove that: (1+ cos (A-B) cos C)/(1+ cos (A-C) cos B) = (a^(2) +b^(2))/(a^(2) + c^(2))

If A+B+C=(pi)/(2) , then prove that cos 2A + cos 2B + cos 2C=1+4 sin A sin B sin C .

( a cos A + b cos B + c cos C )/( a +b +c ) =

DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC RATIOS AND IDENTITIES -EXERCISE 1 D ( TRANSFORMATIONS )
  1. ( cos 6 x + 6 cos 4 x+ 15 cos 2 x+ 10)/( cos 5 x+ 5 cos 3 x + 10 cos ...

    Text Solution

    |

  2. ( cos A + cos 3A + cos 5A + cos 7A )/( sin A + sin 3A + sin 5A + sin 7...

    Text Solution

    |

  3. If none of A,B, A+B is an integral multiple of pi, then prove that (1-...

    Text Solution

    |

  4. ( sin(n+1) alpha - sin (n-1)alpha )/( cos (n+1) alpha + 2 cos n alpha ...

    Text Solution

    |

  5. ((cos theta - cos 3 theta ) ( sin 8 theta + sin 2 theta ))/(( sin 5 th...

    Text Solution

    |

  6. ( sin 8 alpha * cos alpha - sin 6 alpha * cos 3 alpha )/(cos 2 alpha c...

    Text Solution

    |

  7. ( sin alpha sin 3alpha + sin 3alpha sin 7 alpha + sin 5 alpha sin 15 ...

    Text Solution

    |

  8. ( sin 4 A sin 3A - sin 5A sin 2A+ sin 7A sin 4A )/(cos 2A cos 3A - cos...

    Text Solution

    |

  9. (sin 65^(@) + sin 25^(@))/( cos 65^(@) + cos 25^(@))=

    Text Solution

    |

  10. ( sin 70^(@) + cos 40^(@) )/( cos 70^(@) + sin 40^(@))=

    Text Solution

    |

  11. ( sin 75^(@) - sin 15^(@))/( cos 15^(@) - cos 75^(@))=

    Text Solution

    |

  12. ( cos^(2) 33^(@) - cos^(2) 57^@)/( sin 21^(@) - cos 21^(@))=

    Text Solution

    |

  13. (1+ cos 56^(@) + cos 58^(@) - cos 66^(@))/( cos 28^(@) cos 29^@ sin 3...

    Text Solution

    |

  14. ( cos (45^(@) + A) - cos (45^(@) - A))/( sin (120^(@) + A)-sin(120^@-A...

    Text Solution

    |

  15. A+C=2B implies ( cos C - cos A )/( sin A - sin C )=

    Text Solution

    |

  16. x = cos 55^(@), y = cos 65^(@), z= cos 175^(@) " then " xy+yz+ zx=

    Text Solution

    |

  17. cot (A+15^(@))- tan(A-15^(@))=

    Text Solution

    |

  18. cot (15^(@) -A) + tan(15^(@) + A) =

    Text Solution

    |

  19. If m* tan ( theta - 30^(@))= n* tan( theta + 120^(@)), "then " cos 2 ...

    Text Solution

    |

  20. If sin alpha = sin beta and cos alpha = cos beta then

    Text Solution

    |