Home
Class 12
MATHS
If any triangle A B C sin ^(2) A+sin ^(2...

If any triangle `A B C sin ^(2) A+sin ^(2) B-sin ^(2) C=`

A

`2 sin A . sin B . sin C`

B

`2 cos A . cos B . cos C`

C

`2 cos A . sin B . sin C`

D

`2 sin A . sin B . cos C`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|167 Videos
  • Pair Of Lines

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|129 Videos

Similar Questions

Explore conceptually related problems

If A B C are the angles of a triangle then sin ^(2) A+sin ^(2) B+sin ^(2) C-2 cos A cos B cos C

In any triangle ABC , sin.(A)/(2) is

sin(A+B).sin(A- B)=sin^(2)A-sin^(2)B

sin(A+B).sin(A- B)=sin^(2)A-sin^(2)B

sin(A+B).sin(A- B)=sin^(2)A-sin^(2)B

In any triangle ABC, sum(sin^(2)A+sinA+1)/(sinA) is always greater than :

In a triangle A B C, hat(A)=(pi)/(2) then cos ^(2) B+cos ^(2) C=

Prove that in any triangle ABC, (sin A)/a= (sin B)/b=(Sin C)/c .

sin ^(2) 6x - sin ^(2) 4x = sin 2x sin 10x

In a triangle ABC, 2casin.(A-B+C)/(2)=

HIMALAYA PUBLICATION-MEASUREMENT OF ANGLES, TRIGONOMETRIC RATIOS AND RELATION BETWEEN SIDES AND ANGLES OF A TRIANGLE-QUESTION BANK
  1. If in a triangle A B C, tan A+tan B+tan C=6 then cot A . cot B . cot C...

    Text Solution

    |

  2. If A+B+C=pi, prove that sin 2A+sin 2B+sin 2C=4 sinA sin B sinC.

    Text Solution

    |

  3. If any triangle A B C sin ^(2) A+sin ^(2) B-sin ^(2) C=

    Text Solution

    |

  4. A tower subtends an angle alpha at a point on the same level as the fo...

    Text Solution

    |

  5. Two poles are 25 metres and 15 metres high and the line joining their ...

    Text Solution

    |

  6. The tops of two poles of height 20 mt and 14 mt are connected by a wir...

    Text Solution

    |

  7. The angle of elevation of the sun, if the length of the shadow of a to...

    Text Solution

    |

  8. If two towers of heights h(1) and h(2) subtend angles 60^(o) and 30^(c...

    Text Solution

    |

  9. The angle of depression of the top of a tower at a point 70mts from th...

    Text Solution

    |

  10. The horizontal distance between two towers is 60mts. The angular eleva...

    Text Solution

    |

  11. In the triangle A B C, hat(A)=30^(circ), hat(C)=105^(circ) and b=3 sqr...

    Text Solution

    |

  12. In the triangle A B C, hat(A)=75^(circ), hat(B)=45^(circ), c=sqrt(3), ...

    Text Solution

    |

  13. In the triangle A B C, hat(A)=120^(circ), b=2, hat(C)=30^(circ) then a...

    Text Solution

    |

  14. In a triangle ABC b=sqrt(3), c=1, A=30^(circ) then the largest angle o...

    Text Solution

    |

  15. If the angles of a triangle are in the ratio 1 : 2 : 3, then the sides...

    Text Solution

    |

  16. The angles A,B and C of a triangle ABC are in A.P. If b:c=sqrt(3):sqrt...

    Text Solution

    |

  17. In a triangle A B C, hat(A)=45^(circ), hat(B)=75^(circ), then a+c sqrt...

    Text Solution

    |

  18. If in a triangle A B C, a=5, b=4, A=(pi)/(2)+B, then the value of C is

    Text Solution

    |

  19. If the sides of a triangle are x^(2)+x+1, x^(2)-1 and 2 x+1 then the l...

    Text Solution

    |

  20. If in a triangle ABC, acos^(2).(C)/(2)+c cos^(2).(A)/(2)=(3b)/(2), the...

    Text Solution

    |