Home
Class 11
MATHS
If in a triangle ABC ,(sin A+sin B +sin ...

If in a triangle ABC ,(sin A+sin B +sin C)(sinA+sinB-sin C)=3sinAsinB then angle C is equal to

A

`30^@`

B

`45^@`

C

`60^@`

D

`75^@`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    PATHFINDER|Exercise QUESTION BANK|68 Videos

  • TRIGONOMETRIC RATIOS OF COMPOUND ANGLES

    PATHFINDER|Exercise QUESTIONBANK|25 Videos

Similar Questions

Explore conceptually related problems

In a triangle ABC, (sin A+ sin B+ sin C) (sin A+sin B-sinC)= 3 sin A sin B, then which one of the following is correct ?

In triangle A B C ,(sinA+sinB+sinC)/(sinA+sinB-sinC) is equal to

If in a triangle ABC, sin A, sin B, sin C are in A.P, then

In any triangle ABC show that sinA+sinB gt sin C

If in a triangle ABC, b sin B = c sin C, then the triangle is-

In triangle ABC if sin^2B+sin^2C=sin^2A then

For triangleABC prove that (sin A+sin B)(sin B+sin C)(sin C+sin A)gtsinAsinBsinC

In any triangle ABC, prove that (sin A)/(sin B + sin C) + (sin B)/(sin C + sin A) + (sin C)/(sin A + sinB) ge 3/2 .

In triangle ABC, sinA sin B + sin B sin C + sin C sin A = 9//4 and a = 2 , then the value of sqrt3 Delta , where Delta is the area of triangle, is _______

In triangle ABC, (i) asin(A/2 + B) = (b+c) sin A/2

PATHFINDER-TRIGONOMETRIC RATIOS AND IDENTITIES-QUESTION BANK
  1. If alpha and beta are solutions ofsin^2x+asinx+b=0 as well as ofcos^2x...

    Text Solution

    |

  2. If thetane(2n+1)pi/2. ninI, then the least value of (sintheta+cosecthe...

    Text Solution

    |

  3. If in a triangle ABC ,(sin A+sin B +sin C)(sinA+sinB-sin C)=3sinAsinB ...

    Text Solution

    |

  4. Let n be a fixed positive integer such that sin(pi/(2n))+cos(pi/(2n))=...

    Text Solution

    |

  5. Minimum value of4x^2-4x abs(sintheta)-cos^2theta is equal to

    Text Solution

    |

  6. The maximum value of the expression abs(sqrt((sin^2x+2a^2))-sqrt((2a^2...

    Text Solution

    |

  7. For 0ltthetaltpi/2 the solution of underset (m=1)overset6sumcosec(thet...

    Text Solution

    |

  8. If tanalpha and tanbeta be the roots of the equation (x^2+px+q=0) then...

    Text Solution

    |

  9. If tan9theta=3/4(where0ltthetaltpi/18)then the value of (3cosec 3theta...

    Text Solution

    |

  10. If A,B,C are interior angles of a triangle ABC such that (cosA+cosB+co...

    Text Solution

    |

  11. If tantheta+sectheta=e^x then costheta equals

    Text Solution

    |

  12. If lambda be the minimum value of , y=(sinx+cosecx)^2+(cosx+secx)^2+(t...

    Text Solution

    |

  13. If (sqrt2cosx+sqrt2sinx+sqrt7)m=1 holds then

    Text Solution

    |

  14. if costheta1+costheta2+costheta3=3then sin^2theta1+sin^4theta2+sin^6th...

    Text Solution

    |

  15. If sintheta+cosectheta=2 then sin^ntheta+cosec^ntheta=

    Text Solution

    |

  16. If tan(alpha/2) and tan(beta/2) are the roots of the equation 8x^2-26x...

    Text Solution

    |

  17. 4sin^2x +4cos^2xgek then k is

    Text Solution

    |

  18. If sin A,cos A and tan A are in G.P. then cos^3A+cos^2A is equal to

    Text Solution

    |

  19. If x+1/x=2costheta then x^3+1/x^3=

    Text Solution

    |

  20. If A=sin^2theta+cos^4theta then for all real values of theta

    Text Solution

    |