Home
Class 11
MATHS
The sines of two angles of a triangle ar...

The sines of two angles of a triangle are equal to `5/13` and `99/101` . What is the cosine of the third angle ?

A

`255/1313`

B

`265/1313`

C

`275/1313`

D

`770/1313`.

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRY

    MODERN PUBLICATION|Exercise EXERCISE|730 Videos

  • STRAIGHT LINES

    MODERN PUBLICATION|Exercise EXERCISE|304 Videos

Similar Questions

Explore conceptually related problems

The sides opposite to two equal angles of a triangle are :

Sides opposite to…………..angles to a triangle are equal.

The two interior opposite angles of an exterior angles of a triangle are 60^@ and 80^@ . Find the measure of the exterior angle.

If two angles of a triangle are unequal, then greater angle has the larger side opposite to it,

Two angles of a triangle are 30^@ and 80^@ . Find the third angle.

The product of the sines of the angles of a triangle is p and the product of their cosines is qdot Show that the tangents of the angles are the roots of the equation q x^3-p x^2+(1+q)x-p=0.

If .... And the included angle of one triangle are equal to two sides and the included angle of the other triangle then two triangles are congruent.

If two right triangles, one side and an acute angle of one triangle are equal to one side and the corresponding angle of other triangle. Prove that the two triangles are congruent.

If two angles of a triangle are unequal then the side opposite to the smaller angle is :

MODERN PUBLICATION-TRIGNOMETRY-EXERCISE
  1. If tan^2 theta=2 tan^2 phi+1, then which of the following is correct ?

    Text Solution

    |

  2. The value of sin 10^(@) sin 50^(@) sin 70^(@) is equal to

    Text Solution

    |

  3. The sines of two angles of a triangle are equal to 5/13 and 99/101 . W...

    Text Solution

    |

  4. After subtending an angle of 1000^@ from its initial position, the rev...

    Text Solution

    |

  5. One radian is approximately equal to which one of the following :

    Text Solution

    |

  6. If cot (x+y)= 1/sqrt3, cot (x-y)= sqrt3, then what are the smallest po...

    Text Solution

    |

  7. In sinA= 1/sqrt5, cosB= 3/sqrt10, A, B being positive acute angles, th...

    Text Solution

    |

  8. x = sin theta cos theta, and y = sin theta +cos theta are satisfied by...

    Text Solution

    |

  9. A man observes the elevation of a balloon to be 30^@. He then walks 1 ...

    Text Solution

    |

  10. The number of integral values of k for which the equation 7 cos x + 5 ...

    Text Solution

    |

  11. In a triangle ABC, 2ca sin frac(A-B+C)(2)=

    Text Solution

    |

  12. The period of sin^2 theta is :

    Text Solution

    |

  13. If y = sec^2 theta+ cos^2 theta, theta ne 0, then :

    Text Solution

    |

  14. If alpha is a root of 25 cos^2 theta+ 5 cos theta- 12 = 0,pi/2 < alpha...

    Text Solution

    |

  15. If sin (alpha+beta)=1, sin (alpha-beta)=1/2, then tan (alpha+ 2beta). ...

    Text Solution

    |

  16. In a triangle ABC, tan frac (A)(2)=5/6, tan frac (C)(2)=2/5, then :

    Text Solution

    |

  17. The equation a sin x + b cos x = c, where |c| > sqrt (a^2 +b^2) has :

    Text Solution

    |

  18. In a triangle ABC, a = 4, b=3, angle A = 60^@, then c is the root of t...

    Text Solution

    |

  19. If in a triangle, a cos ^(2)""C/2+c cos ^(2)""A/2=(3b)/(2), then its s...

    Text Solution

    |

  20. The angles of a triangle are in the ratio 4: 1: 1, then the ratio of t...

    Text Solution

    |