Home
Class 12
MATHS
Prove that (sin(B-C))/(cosB cosC)+(sin(C...

Prove that `(sin(B-C))/(cosB cosC)+(sin(C-A))/(cosC cosA)+(sin(A-B))/(cosA cosB) =0`.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINE

    MAHAVEER PUBLICATION|Exercise QUESTION BANK|55 Videos

  • VECTOR

    MAHAVEER PUBLICATION|Exercise QUESTION BANK|112 Videos

Similar Questions

Explore conceptually related problems

For any angles A,B,C. (sin(A-B))/(cosA.cosB)+(sin(B-C))/(cosB.cosC)+(sin(C-A))/(cosC.cosA)=...

If A+B+C=pi , prove that : sinA cosB cosC +sinB cosC cosA + sinC cosA cosB = sinA sinB sinC .

If A+B+C=pi , prove that : cosA sinB sinC +cosB sinC sinA+cosC sinA sinB=1+cosA cosB cosC .

(b^2-c^2)/(cos B+cosC)+(c^2-a^2)/(cosC+cosA)+(a^2-b^2)/(cosA+cosB)=……

If A+B+C=pi , prove that : (cosA)/(sinBsinC) + (cosB)/(sinC sinA) + (cosC)/(sinA sinB) =2 .

Prove that in a triangle ABC, (cosB-cosC)/(cosA+1) =(c-b)/a

In triangleABC, (cosA)/(c cosB+bcosC)+(cosB)/(acosC+ccosA)+(cosC)/(acosB+bcosA)=

Three expressions are given below : Q_(1)=sin(A+B)+sin(B+C)+sin(C+A) Q_(2)=cos(A-B)+cos(B-C)+cos(C-A) Q_(3)=sinA(cosB+cosC)+sinB(cosC+cosA)+sinC(cosA+cosB) Which one the following is correct ?

Multiply sin(A+B)=sinA cosB+ cos A sinB and sin(A-B)=sinA cosB - cosA sin B

MAHAVEER PUBLICATION-TRIGONOMETRIC RATIOS-QUESTION BANK
  1. If sin(theta+alpha)=n sin(theta-alpha), prove that cot theta=(n-1)/(n+...

    Text Solution

    |

  2. Find the other five trigonometric ratio if cos theta=- 4/5 , 90^@ lt t...

    Text Solution

    |

  3. Prove that (sin(B-C))/(cosB cosC)+(sin(C-A))/(cosC cosA)+(sin(A-B))/(c...

    Text Solution

    |

  4. Prove that: ("tan"(A+B))/("cot"(A-B))=\ (tan^2A-tan^2B)/(1-tan^2Atan^2...

    Text Solution

    |

  5. If sin(A-B)=1/2 and cos(A+B)=1/2, find A and B.

    Text Solution

    |

  6. If A+B+C=90^@, Prove that cot A+cot B+cot C=cot A cot B cot C

    Text Solution

    |

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

    Text Solution

    |

  8. Prove that (cos100sin10^0)/(cos10^0-s in 10^0)=tan55^0

    Text Solution

    |

  9. (cos8^(@)+sin8^(@))/(cos8^(@)-sin8^@)=tan5 3^(@;)

    Text Solution

    |

  10. Show that cos(60^@-A) cos(30^@-B)-sin(60^@-A)sin(30^@-B)=sin(A+B)

    Text Solution

    |

  11. Find tha value of tan 4620^@

    Text Solution

    |

  12. Find tha value of cos(-1575^@)

    Text Solution

    |

  13. Find the value of cos((19pi)/3)

    Text Solution

    |

  14. Prove that(sinA + sinB)/(cosA + cosB)= tan((A+B)/2)

    Text Solution

    |

  15. Prove that (sin5A-sin3A)/(cos5A+cos3A)=tan A

    Text Solution

    |

  16. Prove that (sin2A+sin5A-sin A)/(cos2A+cos5A+cos A)=tan2A

    Text Solution

    |

  17. If A+B+C=180^@ prove that sin A+sin B+sin C=4 "cos" A/2 "cos" B/2 "cos...

    Text Solution

    |

  18. If A+B+C=pi and cos A= cos B.cos C prove that tan A= tan B+ tan C

    Text Solution

    |

  19. Prove that sin A + cos A= sqrt2 cos (45^@-A)

    Text Solution

    |

  20. Prove that tan27^@+tan 18^@+tan27^@.tan18^@=1.

    Text Solution

    |