Home
Class 11
MATHS
The least positive solution of cot(pi/(...

The least positive solution of `cot(pi/(3sqrt3) sin2x)=sqrt3` lie (a) (0,pi/6)` (b) `(pi/9,pi/6)` (c) `(pi/12,pi/9)` (d) `(pi/3,pi/2)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE ENGLISH|Exercise All Questions|491 Videos

Similar Questions

Explore conceptually related problems

The least positive solution of cot (pi/(3 sqrt(3)) sin 2x)=sqrt(3) lies in

The range of f(x)=sin^(-1)(sqrt(x^2+x+1)) i s (a) (0,pi/2) (b) (0,pi/3) (c) [pi/3,pi/2] (d) [pi/6,pi/3]

The smallest positive root of the equation tanx-x=0 lies in (0,pi/2) (b) (pi/2,pi) (pi,(3pi)/2) (d) ((3pi)/2,2pi)

For 0 cos^(-1)(sintheta) is true when theta belongs to (a) (pi/4,pi) (b) (pi,(3pi)/2) (c) (pi/4,(3pi)/4) (d) ((3pi)/4,2pi)

If log_10(sin x) + log_10(tany)+ log_10 2=0 and coty= 2sqrt3 cos x, then ordered pair (x, y) satisfying the equations simultaneously is(are) (A) (pi/3 ,pi/3) (B) (pi/3 ,pi/6) (C) (pi/6 ,(2pi)/3) (D) (pi/3 , (7pi)/6)

In which of the following sets the inequality sin^6x+cos^6x >5/8 holds good? (a) (-pi/3,pi/8) (b) ((3pi)/8,(5pi)/8) (c) (pi/4,(3pi)/4) (d) ((7pi)/8,(9pi)/8)

cos^-1 {-sin((5pi)/6)}= (A) - (5pi)/6 (B) (5pi)/6 (C) (2pi)/3 (D) -(2pi)/3

The smallest positive value of x (in radians) satisfying the equation (log)_(cosx)((sqrt(3))/2sinx)=2-(log)_(secx)(tanx) is (a) pi/(12) (b) pi/6 (c) pi/4 (d) pi/3

The angle of intersection of the curves y=2\ sin^2x and y=cos2\ x at x=pi/6 is (a) pi//4 (b) pi//2 (c) pi//3 (d) pi//6

The solution(s) of the equation cos2x sin6x=cos3x sin5x in the interval [0,pi] is/are pi/6 (b) pi/2 (c) (2pi)/3 (d) (5pi)/6

CENGAGE ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. For 0ltx ,yltpi,the number of ordered pairs (x, y) satisfying system e...

    Text Solution

    |

  2. In ABC with usual notations, if r=1,r1=7 and R=3, the (a) ABC is equil...

    Text Solution

    |

  3. The least positive solution of cot(pi/(3sqrt3) sin2x)=sqrt3 lie (a) ...

    Text Solution

    |

  4. If 2sec^2A-sec^4A-2cos e c^2A+cos e c^4A=(15)/4,t h e n tan A is equal...

    Text Solution

    |

  5. In Delta ABC, a^(2)(s-a)+b^(2)(s-b)+c^(2)(s-c)=

    Text Solution

    |

  6. The minimum value of sqrt((3sin x-4cosx-10)(3sinx+4cosx-10)) is

    Text Solution

    |

  7. The number of real roots of the equation cos e ctheta+sectheta-sqrt(15...

    Text Solution

    |

  8. In triangle A B C ,D is on A C such that A D=B C' and BD=D C ,/D B C=2...

    Text Solution

    |

  9. If 0lt=xlt=2pi, then the number of solutions of 3(sinx+cosx)-2(sin^3x...

    Text Solution

    |

  10. If a in (0,1)a n df(a)=(a^2-a+1)+(8sin^2a)/(sqrt(a^2-a+1))+(27 cos e c...

    Text Solution

    |

  11. Prove that the area of a regular polygon hawing 2n sides, inscribed in...

    Text Solution

    |

  12. If 2 sin^(2) ((pi//2) cos^(2) x)=1-cos (pi sin 2x), x ne (2n + 1) pi//...

    Text Solution

    |

  13. If (sin^4x)/2+(cos^4x)/3=1/5t h e n tan^2x=2/3 (b) (sin^8x)/8+(cos^...

    Text Solution

    |

  14. If b=3,c=4,a n dB=pi/3, then find the number of triangles that can be ...

    Text Solution

    |

  15. The number of solutions of the equation cos6x+tan^2x+cos(6x)tan^2x=1 ...

    Text Solution

    |

  16. Prove that the sum of the radii of the radii of the circles, which are...

    Text Solution

    |

  17. If A=4sintheta+cos^2theta, then which of the following is not true? ...

    Text Solution

    |

  18. The number of solutions of the equation sin^3xcosx+sin^2xcos^2x+sinxco...

    Text Solution

    |

  19. Which of the following is the least? sin 3      (b)  sin 2        (...

    Text Solution

    |

  20. If the area of the circle is A1 and the area of the regular pentagon i...

    Text Solution

    |