Home
Class 12
MATHS
Find the number of solution of 2tan^(-1)...

Find the number of solution of `2tan^(-1)(tanx)=6-xdot`

Text Solution

AI Generated Solution

To solve the equation \( 2 \tan^{-1}(\tan x) = 6 - x \), we will follow these steps: ### Step 1: Simplify the equation We start by simplifying the left-hand side: \[ 2 \tan^{-1}(\tan x) = 6 - x \] This can be rewritten as: ...
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    CENGAGE|Exercise Question Bank|24 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    CENGAGE|Exercise JEE Advanced Previous Year|8 Videos

  • INTRODUCTION TO VECTORS

    CENGAGE|Exercise JEE Previous Year|20 Videos

  • JEE 2019

    CENGAGE|Exercise Chapter 10|9 Videos

Similar Questions

Explore conceptually related problems

Find the number of solution of 2 tan^(-1) (tan x) = 6 - x

Find the number of solution to the equation x^(2)tanx=1,x in [0,2pi].

tan^(-1)(secx+tanx)

Find the general solution of sinx=tanx

Find the number of solution of the equation x^(3)+2x+cosx+tanx=0 in (-(pi)/(2),(pi)/(2))

The number of solution of the equation sqrt(13-18tanx)=6 tan x-3 , where -2pilt x lt 2pi is

Find the number of solution of the equation ((pi)/(4)+(1)/(2)cos^(-1)x)+tan((pi)/(4)-(1)/(2)cos^(-1)x)=1

Find the general solution of : 2tanx-cotx+1=0 .

Find general solution of tanx=sqrt(3)

CENGAGE-INVERSE TRIGONOMETRIC FUNCTIONS-Solved Examples And Exercises
  1. Solve cos^(-1)(cosx)>sin^(-1)(sinx),x in [0,2pi]

    Text Solution

    |

  2. If cos(2sin^(-1)x)=1/9, then find the values of xdot

    Text Solution

    |

  3. Find the number of solution of 2tan^(-1)(tanx)=6-xdot

    Text Solution

    |

  4. Find the value of sin(1/4cos^(-1)((-1)/9))

    Text Solution

    |

  5. Find the value of sin(1/2cot^(-1)(-3/4))

    Text Solution

    |

  6. Solve sin^(-1)(1-x)-2sin^(-1)x=pi/2

    Text Solution

    |

  7. Prove that: cot^(-1)((sqrt(1+sinx)+sqrt(1-sinx))/(sqrt(1+sinx)-sqrt(1-...

    Text Solution

    |

  8. Simplify sincot^(-1)tancos^(-1)x , x >0

    Text Solution

    |

  9. Find tan^(-1)x/(sqrt(a^2-x^2)) in terms of sin^(-1) where x in (0, a)d...

    Text Solution

    |

  10. If tan^(-1)(x^2+3|x|-4)+cot^(-1)(4pi+sin^(-1)sin 14)=pi/2, t h e n th...

    Text Solution

    |

  11. If 2tan^(-1)x+sin^(-1)(2x)/(1+x^2) is independent of x , then x >1 (b...

    Text Solution

    |

  12. Equation 1+x^2+2x"sin"(cos^(-1)y)=0 is satisfied by (a) exactly one ...

    Text Solution

    |

  13. If the equation2^((2pi)/cos^(-1)x)-(a+1/2)2^((pi)/cos^(-1)x-a^2=0 has ...

    Text Solution

    |

  14. Let alpha=som^(-1)((36)/(85)),beta=cos^(-1)(4/5)a n dgamma=tan^(-1)(8/...

    Text Solution

    |

  15. If Sn=cot^(-1)(3)+cot^(-1)(7)+cot^(-1)(13)+cot^(-1)(21)+ddotn terms, ...

    Text Solution

    |

  16. The value of tan[cos^(-1)(4/5)+tan^(-1)(2/3)] is 6/(17) (b) 7/(16) (...

    Text Solution

    |

  17. If tan^(-1)(sqrt(1+x^2-1))/x=4^0 then x=tan2^0 (b) x=tan4^0 x=tan1/4...

    Text Solution

    |

  18. The value of 2tan^(-1)(cos e ctan^(-1)x-tancot^(-1)x) is equal to (a...

    Text Solution

    |

  19. The value of cot(sum(n=1)^2 cot^-1(1+sum(k=1)^n 2k)) is (a) 23/25 (b) ...

    Text Solution

    |

  20. sin^(-1)(sin5)> x^2-4x hold if (a) x=2-sqrt(9-2pi) (b) x=2+s...

    Text Solution

    |