Home
Class 12
MATHS
In a triangle ABC ,angle A is greater th...

In a triangle ABC ,angle A is greater than B.If the measures of angles Aand B satisfy the equation `3sinx-4 sin^(3)x-k=0,0ltklt1`, then the measure of angle C, is

A

`((-pi)/(10),(3pi)/(10))`

B

`((pi)/(10),(3pi)/(10))`

C

`((pi)/(10),(3pi)/(10))`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
c
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETIC EQUATIONS

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) (LEVEL II)|20 Videos
  • TRIGONOMETIC EQUATIONS

    FIITJEE|Exercise COMPREHENSIONS I|3 Videos
  • TRIGONOMETIC EQUATIONS

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (SUBJECTIVE) (LEVEL II)|16 Videos
  • TRIGNOMETRIC RATIOS AND IDENTITIES

    FIITJEE|Exercise All Questions|1 Videos
  • VECTOR

    FIITJEE|Exercise NUMERICAL BASED|4 Videos

Similar Questions

Explore conceptually related problems

In triangle ABC ,angle A is greater than B .If the measures of angles A and B satisfy the equation 4cos^(3)x-3cos x=k, k in[-1,1]-{0} , then the measure of angle C is (A<(2 pi)/(3))

In a triangle ABC,A>B. If the measuresof angles A and B satiffy the equation 3sin x-4sin^(3)x-p=0,0

In a triangle ABC the angle B is greater than angle C. If the measure of angles B and C satisfy the equation 4sin^3x-3sinx+0.75=0 then the measure of angle A is (A) pi/2 (B) (2p)/3 (C) pi/6 (D) (5pi)/6

In a triangle ABC ,angle A is greater than angle B.If the measures of angles A and B satisfy the equation 2tan x-k(1+tan^(2)x)=0, where kE(0, 1),then the measure of the angle Cis

In the Delta ABCA gt B. If the measures of A and B satisfy the equation 3 sin x - 4 sin ^(3) x - k =0, 0 lt k lt 1. Then the measure of C is

In triangle ABC, angle A is greater than angle B. If the measure of angles A and B satisfy the equation 3sinx-4sin^3x-k=0. (A) pi/3 (B) pi/2 (C) (2pi)/3 (D) (5pi)/6

In a Delta leABC,A>B if A and B satisfy the equation 3sin x-4sin^(3)x-k=0,0

fin a triangle ABC sines of angles A and B satisfy the equation 4x^(2)-2sqrt(6)x-1=0 then cos(A-B)=

In the angles A,B and C of a ABC satisfy the relation B-A-B, then find the measure of /_B

FIITJEE-TRIGONOMETIC EQUATIONS -ASSIGNMENT PROBLEMS (OBJECTIVE) (LEVEL 1)
  1. If cos 3A +cos 3B+cos 3C=1 then one of the angles of the triangle ABC ...

    Text Solution

    |

  2. Find the value of x which satisfy equation 2 tan^(-1) 2x = sin^(-1).(4...

    Text Solution

    |

  3. If 24 cos^(2)x+8sin 2x cos x +18 cos x+6 sin 2x=15 +10 sin x then gene...

    Text Solution

    |

  4. If the equation sin theta(sin theta + 2 cos theta )=a has a real solut...

    Text Solution

    |

  5. sum(r=1)^n (cos(2r x))/sin(r x+pi/4)=((2sin50 x)/sin(x/2))sin(pi/4-(m ...

    Text Solution

    |

  6. The equation "sin"^(4) x -2 "cos"^(2) x + a^(2) =0 is solvable if

    Text Solution

    |

  7. If x1,x2, x3, x4 are the roots of the equation x^4-x^3 sin2 beta+ x^2....

    Text Solution

    |

  8. If |s in x+cos x|=|s in x|+|cos x|(s in x ,cos x!=0) , then in which q...

    Text Solution

    |

  9. The number of distinct solution of cos(x)/(4)=cos(x) in x in [0,24 pi...

    Text Solution

    |

  10. The value of sin^(-1){cot(sin^(-1)sqrt((2-sqrt(3))/4)+cos^(-1)(sqrt(1...

    Text Solution

    |

  11. The set of all x in (-pi,pi) satisfying |4 sin x-1| lt sqrt(5) is gi...

    Text Solution

    |

  12. If A = 2 tan^(-1) (2 sqrt2 -1) and B = 3 sin^(-1) ((1)/(3)) + sin^(-1)...

    Text Solution

    |

  13. In a triangle ABC ,angle A is greater than B.If the measures of angles...

    Text Solution

    |

  14. If cos^(2)x-a|cosx|+b=0 has exactly two solutions in ((-pi)/(2),(3pi)/...

    Text Solution

    |

  15. Number of solutions of the equation cot( theta ) + cot( theta +(pi)/(...

    Text Solution

    |

  16. If x+(1)/(x)=2, the principal value of sin^(-1)x is

    Text Solution

    |

  17. If a sin + b cos (C+x)+b+c =4aThen cot(B)/(2)cot(C )/(2) is equal to

    Text Solution

    |

  18. If in a triangle ABC ,b +c=4a then cot(B/2)cot(C/2) is equal to

    Text Solution

    |

  19. Statement -1 |x^(2)-4|+|sinx|=|x^(2)+sinx-4| if x in [2,pi] because ...

    Text Solution

    |

  20. Let the cubic equation x^(3)-ax^(2)+bx-1=0 has only one real root alph...

    Text Solution

    |