Home
Class 11
MATHS
Prove that the least positive value of x...

Prove that the least positive value of `x ,` satisfying `tanx=x+1,lies `in` the `in`terval(pi/4,pi/2)dot`

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE PUBLICATION|Exercise All Questions|486 Videos

Similar Questions

Explore conceptually related problems

Find the smallest positive values of xa n dy satisfying x-y=pi/4a n dcotx+coty=2

There exists a positive real number of x satisfying "cos"(tan^(-1)x)=xdot Then the value of cos^(-1)((x^2)/2)i s pi/(10) (b) pi/5 (c) (2pi)/5 (d) (4pi)/5

The smallest positive x satisfying log_sin x cos x+log_(cos x) (sin x)=2 , when x in (0,pi/2) , is

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

Prove that the function are increasing for the given intervals: f(x)=sinx+tanx-2x ,x in (0,pi/2)

The number of real values of x satisfying tan^-1(x/(1-x^2))+tan^-1 (1/x^3) = (3pi)/(4)

The number of roots of the equation x+2tanx=pi/2 in the interval [0, 2pi] is

The number of values of x in [0 , 4pi] satisfying abs(sqrt3 cos x - sin x) ge 2 , is

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

If x+y=pi/4 and tanx+tany=1, then

CENGAGE PUBLICATION-TRIGONOMETRIC FUNCTIONS-All Questions
  1. Evaluate the sine of each of the following angles without using a ca...

    Text Solution

    |

  2. Let A B C be a triangle with incenter I and inradius rdot Let D ,E ,a ...

    Text Solution

    |

  3. Prove that the least positive value of x , satisfying tanx=x+1,lies i...

    Text Solution

    |

  4. Find the reference angles corresponding to each of the following ang...

    Text Solution

    |

  5. If Delta is the area of a triangle with side lengths a, b, c, then s...

    Text Solution

    |

  6. Suppose the point with coordinates (-12, 5) is on the terminal side of...

    Text Solution

    |

  7. If ma n dn(n > m) are positive integers, then find the number of solut...

    Text Solution

    |

  8. I(n) is the area of n sided refular polygon inscribed in a circle unit...

    Text Solution

    |

  9. Solve 3tan2x-4tan3x=tan^2 3xtan2xdot

    Text Solution

    |

  10. Assuming the distance of the earth from the moon to be 38,400 km and ...

    Text Solution

    |

  11. Let the angles A , Ba n dC of triangle A B C be in AdotPdot and let b ...

    Text Solution

    |

  12. Find the angle between the minute hand and the hour hand of a clock ...

    Text Solution

    |

  13. For which values of a does the equation 4sin(x+pi/3)cos(x-pi/6)=a^2+sq...

    Text Solution

    |

  14. In a triangle of base a, the ratio of the other sides is r(lt1). Show...

    Text Solution

    |

  15. Solve sintheta+sqrt(3)costheta ge1,-pilttheta ltpi

    Text Solution

    |

  16. For each natural number k, let Ck denotes the circle with radius k uni...

    Text Solution

    |

  17. Let A,B,C, be three angles such that A=pi/4 and tanB tanC=pdot Find ...

    Text Solution

    |

  18. Solve cos2x >|sinx|,x in (pi/2,pi)

    Text Solution

    |

  19. State if the given angles are coterminal. (i) alpha=185^0,beta=-545^0 ...

    Text Solution

    |

  20. Prove that a triangle A B C is equilateral if and only if tanA+tanB+ta...

    Text Solution

    |