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

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

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 rewriting the equation: \[ \tan^{-1}(\tan x) = \frac{6 - x}{2} \] This means we can express it as: ...
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    CENGAGE ENGLISH|Exercise Concept application exercise 7.1|12 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    CENGAGE ENGLISH|Exercise Concept application exercise 7.2|6 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    CENGAGE ENGLISH|Exercise Archives (Numerical Value type)|2 Videos

  • INTRODUCTION TO VECTORS

    CENGAGE ENGLISH|Exercise MATRIX-MATCH TYPE|3 Videos

  • JEE 2019

    CENGAGE ENGLISH|Exercise Chapter 10|9 Videos

Similar Questions

Explore conceptually related problems

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

Find the number of solution of the equations x+ 2 tan x =(pi)/(2) , when x in[0,2pi]

Find the number of solution of tan x + sec x =2 cos x in [0,2pi]

Number of solution of tan(2x)= tan(6x) in (0,3pi) is :

The number of solution of the equation tan^(-1) (1 + x) + tan^(-1) (1 -x) = (pi)/(2) is

The number of solutions of equation 2 tan^(-1)(x + 1) = cos^(-1)(x/2) .

Find the number of solution of the equation tan (Sigma_(r=1)^(5) cot^(-1) (2r^(2))) = (5x+6)/(6x+5) .

The number of solutions of equation tan^(-1)2x+tan^(-1)3x=pi/4 is (a) 2 (b) 3 (c) 1 (d) none of these

The number of solutions of the equation tan^(-1)(1+x)+tan^(-1)(1-x)=pi/2 is 2 (b) 3 (c) 1 (d) 0

Find the general solution : sec^2 2x=1-tan2x

CENGAGE ENGLISH-INVERSE TRIGONOMETRIC FUNCTIONS-Illustration
  1. Solve cos^(-1) (cos x) gt sin^(-1) (sin x), x in [0, 2pi]

    Text Solution

    |

  2. Find the principal values of the following (i) tan^(-1) (tan. (2pi)/...

    Text Solution

    |

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

    Text Solution

    |

  4. Write tan^(-1) x, x gt 0 in the form of other inverse trigonometric fu...

    Text Solution

    |

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

    Text Solution

    |

  6. Prove that sin (cot^(-1) (tan (cos^(-1) x))) = x, x gt 0

    Text Solution

    |

  7. If x<0, then prove that cos^(-1)x=pi-sin^(-1)sqrt(1-x^2)

    Text Solution

    |

  8. Prove that cos^(-1) {sqrt((1 + x)/(2))} = (cos^(-1) x)/(2) , -1 lt x l...

    Text Solution

    |

  9. Prove that tan^(-1) {(x)/(a + sqrt(a^(2) - x^(2)))} = (1)/(2) sin^(-1)...

    Text Solution

    |

  10. Prove that sin^(-1) {(sqrt(1 + x) + sqrt(1 - x))/(2)} = (pi)/(4) + (co...

    Text Solution

    |

  11. Prove that cos^(-1) ((1 - x^(2n))/(1 + x^(2n))) = 2 tan^(-1) x^(n), 0 ...

    Text Solution

    |

  12. If x in [-1, 0], then find the value of cos^(-1) (2x^(2) - 1) - 2 sin^...

    Text Solution

    |

  13. If (1)/(sqrt2) lt x lt 1, then prove that cos^(-1) x + cos^(-1) ((x + ...

    Text Solution

    |

  14. Find the value of sin^(-1) (sin 5) + cos^(-1) (cos 10) + tan^(-1) {tan...

    Text Solution

    |

  15. Find the minimum value of the function f(x) = (pi^(2))/(16 cot^(-1) (-...

    Text Solution

    |

  16. Find the range of y = (cot^(-1) x) (cot^(-1) (-x))

    Text Solution

    |

  17. The value of 2 tan^(-1) (cosec tan^(-1) x - tan cot^(-1) x) is equal t...

    Text Solution

    |

  18. Prove that cos (tan^(-1) (sin (cot^(-1) x))) = sqrt((x^(2) + 1)/(x^(2)...

    Text Solution

    |

  19. If sin^(-1) x = pi//5, for some x in (-1, 1), then find the value of c...

    Text Solution

    |

  20. If sin (sin^(-1).(1)/(5) + cos^(-1) x) = 1, then find the value of x

    Text Solution

    |