Home
Class 12
MATHS
There exists a positive real number of x...

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`

Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO VECTORS

    CENGAGE PUBLICATION|Exercise TRUE OR FALSE|1 Videos
  • JEE 2019

    CENGAGE PUBLICATION|Exercise Chapter 10|8 Videos

Similar Questions

Explore conceptually related problems

The value of (cos ^(2) ""(pi)/(12)+ cos^(2) ""(pi)/(4)+ cos ^(2) ""(5pi)/(12)) is-

The value of lim_(x->1)(2-x)^(tan((pix)/2)) is (a) e^(-2/pi) (b) e^(1/pi) (c) e^(2/pi) (d) e^(-1/pi)

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

cos^(-1) tan(-(5pi)/(4))

Which of the following is/are the value of "cos"[1/2cos^(-1)(cos(-(14pi)/5)]? (a) cos(-(7pi)/5) (b) sin(pi/(10)) (c) cos((2pi)/5) (d) -cos((3pi)/5)

The principal value of sin^(-1)(sin((2pi)/3)) is (a) -(2pi)/3 (b) (pi)/3 (c) (4pi)/3 (d) (5pi)/3 (e) none of these

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 f(x)=sin^(-1)cosx , then the value of f(10)+f^(prime)(10) is (a) 11-(pi)/2 (b) (pi)/2-11 (c) (5pi)/2-11 (d) none of these

Range of tan^(-1)((2x)/(1+x^2)) is (a) [-pi/4,pi/4] (b) (-pi/2,pi/2) (c) (-pi/2,pi/4) (d) [pi/4,pi/2]

If y="sec"(tan^(-1)x),t h e n(dy)/(dx)a tx=1 is (a) cos(pi/4) (b) sin(pi/2) (c) sin(pi/6) (d) cos(pi/3)

CENGAGE PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. 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

    |

  2. A particle just clears a wall of height b at distance a and strikes ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. In an AP given a = 5, d = 3, an = 50, Find n and Sn of that AP.

    Text Solution

    |

  7. y=sin^(-1)(x/2)+cos^(-1)(x/2) then find the value of [dy/dx](x=1)

    Text Solution

    |

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

    Text Solution

    |

  9. Column I, Column II sin^(-1)(4/5)+2tan^(-1)(1/3)= , p. pi/6; sin^(-...

    Text Solution

    |

  10. theta=tan^-1(2tan^2theta)-tan^-1{(1/3)tantheta}, if

    Text Solution

    |

  11. If tan^(-1)((a+x)/a)+tan^(-1)((a-x)/a)=pi/6,then x^2= 2sqrt(3)a (b) ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. If cot^(-1)((n^2-10 n+21. 6)/pi)>pi/6, then the possible values of n i...

    Text Solution

    |

  15. If z=sec^(-1)(x+1/x)+sec^(-1)(y+1/y), where x y<0, then the possible v...

    Text Solution

    |

  16. If (sin^(-1)x+sin^(-1)w)(sin^(-1)y+sin^(-1)z)=pi^2, then D=|x^(N1)y^(N...

    Text Solution

    |

  17. Indicate the relation which can hold in their respective domain for ...

    Text Solution

    |

  18. If x&lt;0,t h e ntan^(-1)x is equal to

    Text Solution

    |

  19. If tan^(-1)(x+3/x)-tan^(-1)(x-3/x)=tan^(-1) (6/x ) then the value of x...

    Text Solution

    |

  20. If sin^(-1)x+sin^(-1)y=pi/2 and sin2x=cos2y , then (a) x=pi/8+sqrt(...

    Text Solution

    |