Home
Class 12
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

  • PROPERTIES AND SOLUTIONS OF TRIANGLE

    CENGAGE PUBLICATION|Exercise Archives (Numerical Value Type)|3 Videos

  • SCALER TRIPLE PRODUCTS

    CENGAGE PUBLICATION|Exercise DPP 2.3|11 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-RELATIONS AND FUNCTIONS-All Questions
  1. Solve log("tan x")(2+4 cos^(2) x)=2.

    Text Solution

    |

  2. If the function f: RvecA given by f(x)=(x^2)/(x^2+1) is surjection, th...

    Text Solution

    |

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

    Text Solution

    |

  4. The values of ba n dc for which the identity of f(x+1)-f(x)=8x+3 is sa...

    Text Solution

    |

  5. Find the range of f(x)=sec(pi/4cos^2x)

    Text Solution

    |

  6. The number of values of x for which |||x^2-x+4|-2|-3|=x^2+x-12 is

    Text Solution

    |

  7. Which of the following function from Z to itself are bijections? f(x)=...

    Text Solution

    |

  8. Find the domain and range of f(x)=log{x},w h e r e{} represents the fr...

    Text Solution

    |

  9. The domain of the function f(x)=sqrt(x^2-[x]^2) , where [x] is the gre...

    Text Solution

    |

  10. If f:NrarrN f(n)={(n+1)/2; when n is odd =n/2;...

    Text Solution

    |

  11. Find the domain and range of f(x)=sin^(-1)[x] where [] represents the ...

    Text Solution

    |

  12. Find the range of the following function f(x)=|x-1|+|x-2|,-1lexle3 is

    Text Solution

    |

  13. Let f : R to R be a function such that f(x)=x^3+x^2+3x+sinx . Then

    Text Solution

    |

  14. Find the domain of the following functions: f(x)=sqrt(2-x)-1/(sqrt(9-x...

    Text Solution

    |

  15. Which of the following functions is the inverse of itself? (a) f(x)=(1...

    Text Solution

    |

  16. If f: R to R is given by f(x)=(x^2-4)/(x^2+1) , identify the type of f...

    Text Solution

    |

  17. Find the domain of f(x)=sqrt(([x]-1))+sqrt((4-[x])) (where [ ] repres...

    Text Solution

    |

  18. The function f satisfies the functional equation 3f(x)+2f((x+59)/(x-1)...

    Text Solution

    |

  19. Let f(x)=a x+b and g(x)=c x+d , a!=0. Assume a=1,b=2. If (fog)(x)=(gof...

    Text Solution

    |

  20. Solve x^2-4-[x]=0 (where [] denotes the greatest integer function).

    Text Solution

    |