Home
Class 11
MATHS
In Delta ABC, if sin ^(2) A+sin ^(2) B =...

In `Delta ABC,` if `sin ^(2) A+sin ^(2) B =sin ^(3)C,` then the triangle is

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

In DeltaABC, if sin^2 A+ sin^2 B = sin^2 C , then the triangle is

Statement I: If in a triangle ABC, sin ^(2) A+sin ^(2)B+sin ^(2)C=2, then one of the angles must be 90^(@). Statement II: In any triangle ABC cos 2A+ cos 2B+cos 2C=-1-4 cos A cos B cos C

If in a Delta ABC, sin ^(3) A + sin ^(3) B+ sin ^(3) C =3 sin A .Sin B. sin C, then find the valueof determinant |{:(a,b,c),(b,c,a),(c,a,b):}|.

In triangle ABC, if sin Asin B=(ab)/c^2 , then the triangle is :

In a Delta ABC, show that 2R^(2) sin A sin B sin C=Delta.

In any triangle ABC, if sin A , sin B, sin C are in AP, then the maximum value of tan ""B/2 is

In a triangle ABC, a ge b ge c. If (a^(3)+b^(3)+c^(3))/(sin ^(3)A +sin ^(3) B+sin ^(3)C)=8, then the maximum value of a

In a Delta ABC, if cos A+cos B=4 sin^(2)((C)/(2)), then a,b,c are in (a) AP (b) GP (c) HP (d) None of these

In any triangle ABC : If sin 2A = sin 2B + sin 2C, prove that either B = 90^@ or C = 90^@ .

If A, B, C are interior angles of DeltaABC such that (cos A + cos B + cos C)^(2)+(sin A + sin B + sin C)^(2)=9 , then number of possible triangles is

MODERN PUBLICATION-TRIGNOMETRY-EXERCISE
  1. In any triangle ABC : If a cos A = b cos B, prove that either the tri...

    Text Solution

    |

  2. In any triangle ABC : If sin 2A = sin 2B + sin 2C, prove that either ...

    Text Solution

    |

  3. In Delta ABC, if sin ^(2) A+sin ^(2) B =sin ^(3)C, then the triangle i...

    Text Solution

    |

  4. In any triangle ABC : If (cosA)/a= (cosB)/b, prove that the triangle ...

    Text Solution

    |

  5. Prove that the area of a sector of circle with radius r and central an...

    Text Solution

    |

  6. Prove that the area of a sector of a circle of radius r and an arc of ...

    Text Solution

    |

  7. The greatest angle of a cyclic quadrilateral is three times the least....

    Text Solution

    |

  8. A wire 121 cm long is bent so as to lie along the arc of a circle of 9...

    Text Solution

    |

  9. Prove that: (tan A)/(1-cotA)+ (cotA)/(1-tan A)= 1/ (sinA cosA)+1.

    Text Solution

    |

  10. Prove that (tan^2 theta)/(tan^2 theta-1)+(cosec^2 theta)/ (sec^2 theta...

    Text Solution

    |

  11. Prove that: (tanA+secA-1)/(tan A -secA +1)= secA+tanA.

    Text Solution

    |

  12. Eliminate alpha between the equations: (sin^2 alpha)/(cos alpha)=a^3...

    Text Solution

    |

  13. Find the value of 3(sinx-cosx)^(4)+6(sinx+cos x)^(2)+4(sin^(6)x+cos^(6...

    Text Solution

    |

  14. Given, sin x =-3/7 and x belongs to the third quadrant, obtain the va...

    Text Solution

    |

  15. If 7 sin A = 24 cos A and 0ltAlt pi/2, find 14 tan A - 25 cos A-7 sec...

    Text Solution

    |

  16. If sectheta= x+1/(4x) , then prove that sectheta+tantheta=2x or 1/(2x)...

    Text Solution

    |

  17. If tan theta =p/q, show that : (p sin theta-q cos theta)/(p sin thet...

    Text Solution

    |

  18. If sin x + sin^2 x = 1, show that : cos^4 x+ cos^2 x=1.

    Text Solution

    |

  19. If sin x + cos x =sqrt2 cos x, show that : sqrt2 sin x =cos x- sin x.

    Text Solution

    |

  20. If a cos theta-b sintheta=c, then find the value of a sin theta+b cos...

    Text Solution

    |