Home
Class 12
MATHS
The value of tan[cos^(-1)(4/5)+tan^(-1)(...

The value of `tan[cos^(-1)(4/5)+tan^(-1)(2/3)]` is `6/(17)` (b) `7/(16)` (c) `(16)/7` (d) none of these

Text Solution

Verified by Experts

LHS
`tan[tan^(-1)3/4+tan^(-1)2/3]`
`tan[tan^(-1)((3/4)+(2/3))/(1-(3/4)(2/3))]`
`tan[tan^(-1)(17/6)]`
`=17/6`.
Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO VECTORS

    CENGAGE|Exercise JEE Previous Year|20 Videos
  • JEE 2019

    CENGAGE|Exercise Chapter 10|9 Videos

Similar Questions

Explore conceptually related problems

The value of tan(cos^(-1)""(3)/(5)+tan^(-1)""(1)/(4)) is …………

Find the value of tan(tan^(-1)((7pi)/(4)))

Prove : tan ( cos^(-1) ""4/5 + tan ^(-1)"" 2/3 )=(17)/(6)

The value of int_1^e((tan^(-1)x)/x+(logx)/(1+x^2))dxi s tane (b) tan^(-1)e tan^(-1)(1/e) (d) none of these

The value of cos(1/2cos^(-1)(1/8)) is (a) 3/4 (b) -3/4 (c) 1/(16) (d) 1/4

The value of 2tan^(-1)(cos e ctan^(-1)x-tancot^(-1)x) is equal to (a) cot^(-1)x (b) cot^(-1)1/x (c) tan^(-1)x (d) none of these

The value of tan^(-1).(4)/(7) + tan^(-1).(4)/(19) + tan^(-1).(4)/(39) + tan^(-1).(4)/(67) ... oo equals

Find the value of tan(2tan^(-1)((1)/(5))-(pi)/(4))

CENGAGE-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. Let alpha=som^(-1)((36)/(85)),beta=cos^(-1)(4/5)a n dgamma=tan^(-1)(8/...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. If tan^(-1)(sqrt(1+x^2-1))/x=4^0 then

    Text Solution

    |

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

    Text Solution

    |

  6. If sin^(-1)x=2sin^(-1)alpha has a solution, then

    Text Solution

    |

  7. If sin^(-1)x+sin^(-1)y=pi/2,t h e n(1+x^4+y^4)/(x^2-x^2y^2+y^2) is equ...

    Text Solution

    |

  8. The value of (alpha^3)/2cos e c^2(1/2tan^(-1)alpha/beta)+(beta^3)/2sec...

    Text Solution

    |

  9. There exists a positive real number of x satisfying "cos"(tan^(-1)x)=x...

    Text Solution

    |

  10. The value of "tan"(sin^(-1)("cos"(sin^(-1)x)))"tan"(cos^(-1)(sin(cos^(...

    Text Solution

    |

  11. The solution set of inequality (cot^(-1)x)(tan^(-1)x)+(2-pi/2)cot^(-1)...

    Text Solution

    |

  12. Each question contains statement given in two columns. Statement a,b...

    Text Solution

    |

  13. If x=sin^(-1)(a^6+1)+cos^(-1)(a^4+1)-tan^(-1)(a^2+1),a in R , then th...

    Text Solution

    |

  14. The number of values of x for which sin^(-1)(x^2-(x^4)/3+(x^6)/9)+cos...

    Text Solution

    |

  15. Find the range of cot^(-1)(2x-x^2)

    Text Solution

    |

  16. Prove : sin ^(-1) ""(5/13) + cos^(-1) (3/5) = tan^(-1) ""(63)/(16)

    Text Solution

    |

  17. If [ 4 a 2 4 a 1 4 b 2 4 b 1 4 c 2 4c 1   ] [ ...

    Text Solution

    |

  18. If tan^(-1)(a+x)/a+tan^(-1)(a-x)/a=pi/6,t h e nx^2= (a)2sqrt(3)a (b)...

    Text Solution

    |

  19. The value of k(k >0) such that the length of the longest interval ...

    Text Solution

    |

  20. Which of the following pairs of function/functions has same graph? y=...

    Text Solution

    |