Home
Class 12
MATHS
In a triangle ABC cos A = 7/8 , cos B = ...

In a triangle ABC cos A = `7/8` , cos B = `11/16`.then , cos C is equal to

A

`-1/4`

B

`-1/2`

C

0

D

`1/4`

Text Solution

AI Generated Solution

To find the value of cos C in triangle ABC given that cos A = 7/8 and cos B = 11/16, we can use the cosine rule and the relationship between the angles in a triangle. Here are the steps to solve the problem: ### Step-by-Step Solution: 1. **Given Values**: - cos A = 7/8 - cos B = 11/16 ...
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM

    OBJECTIVE RD SHARMA ENGLISH|Exercise SOLVED MCQ|2 Videos

  • PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|13 Videos

  • PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|55 Videos

  • PLANE AND STRAIGHT LINE IN SPACE

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|31 Videos

  • REAL FUNCTIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|58 Videos

Similar Questions

Explore conceptually related problems

In a triangle ABC, a (b cos C - c cos B) =

In a triangle ABC, cos A+cos B+cos C=

In a Delta ABC , cos (A + B) + cos C =

In a triangle ABC, if 2 a cos ( B − C 2 ) = b + c , then secA is equal to :

In a triangle ABC, sin A- cos B = Cos C , then angle B is

In a triangle ABC, cos 3A + cos 3B + cos 3C = 1 , then find any one angle.

In Delta ABC of a :b:c= 7 : 8: 9 .Then cos A : cos B is equal to :-

In triangle ABC, if cos A + cos B + cos C = (7)/(4), " then " (R)/(r) is equal to

In a triangle ABC, (c cos(A-theta) + acos (C + theta))/(b costheta) is equal to

In a triangle ABC , if cos A cos B + sin A sin B sin C = 1 , then a:b:c is equal to

OBJECTIVE RD SHARMA ENGLISH-PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM-Section I - Solved Mcqs
  1. If in a !ABC , sin A, sin B and sin C are in A.P, then

    Text Solution

    |

  2. If in Delta ABC, the altitudes from the vertices A, B and C on opposit...

    Text Solution

    |

  3. In a triangle ABC cos A = 7/8 , cos B = 11/16.then , cos C is equal to

    Text Solution

    |

  4. If tan of the angles A , B , C are the solutions of the equations tan^...

    Text Solution

    |

  5. If the angles of a triangle are in the ratio 4:1:1, then the ratio of ...

    Text Solution

    |

  6. In triangle ABC, let angle C = pi//2. If r is the inradius and R is ci...

    Text Solution

    |

  7. Let PQ and RS be tangents at the extremities of the diameter PR of a c...

    Text Solution

    |

  8. If a , b , c denote the sides of a !ABC such that the equation x^(2)+...

    Text Solution

    |

  9. If in a triangleABC ,b = 12 units , c = 5 units and triangle= 30 sq. u...

    Text Solution

    |

  10. In a !ABC , 2r = r(1) and A=30 , then cos (B - C)/2 is equal to

    Text Solution

    |

  11. In a triangle ! ABC, a^2cos^2A=b^2+c^2 then

    Text Solution

    |

  12. In a triangle ABC , the sides a , b , c are in G.P., then the maximum ...

    Text Solution

    |

  13. The area of a triangle is sqrt3 sq. units and angleB=60 If a^(2),b^(2)...

    Text Solution

    |

  14. If in a triangle ABC , tan A/2 and tan B/2 are the roots of the equati...

    Text Solution

    |

  15. In a !ABC the length of the median AD to the side BC is 4 units. If an...

    Text Solution

    |

  16. Two sides of a tariangle are given by the roots of the equation x^(2) ...

    Text Solution

    |

  17. If in triangleABC,(c+a)/b+(c+b)/a=c/r then

    Text Solution

    |

  18. In a !ABC , there is a point D on the side BC such that (BD)/(DC) =1/3...

    Text Solution

    |

  19. If G is the centroid of a DeltaABC, then GA^(2)+GB^(2)+GC^(2) is equal...

    Text Solution

    |

  20. In an equilateral triangle the ratio of circum-radius and in-radius is

    Text Solution

    |