Home
Class 12
MATHS
If sin^(-1)((4x)/(x^2+4))+2tan^(-1)(-x/2...

If `sin^(-1)((4x)/(x^2+4))+2tan^(-1)(-x/2)` is independent of `x ,` find the values of x

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

Find the values of each of the following : If "tan"^(-1)(x-1)/(x-2)+"tan"^(-1)(x+1)/(x+2)=(pi)/4 , then find the value of x.

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

Prove that sin^(-1)((2x)/(1+x^2))=tan^(-1)((2x)/(1-x^2))

If x=sin^(-1)(a^6+1)+cos^(-1)(a^4+1)-tan^(-1)(a^2+1),a in R , then the value of sec^2x is_______

show that , the value of tan ^(-1) ( (x cos phi )/(1- x sin phi ))- cot ^(-1) ""((cos phi )/( x - sin phi )) is independent of x and find its simplfied value .

If cos^(-1)((6x)/(1+9x^2))=-pi/2+2tan^(-1)3x , then find the value of x

If (a^2-1)x^2+(a-1)x+a^2-4a+3=0 is identity in x , then find the value of a .

Solve : tan^(-1)((x-1)/(x-2))+tan^(-1)((x+1)/(x+2))=pi/4

Prove that , the value of the determinant |{:(x+1,x+2,x+4),(x+3,x+5,x+8),(x+7,x+10,x+14):}| is independent of x and find the value of the determinant.

If tan(cos^(-1) x) = sin (cot^(-1)(1/2)) , then find the value of x

CENGAGE PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. Which of the following angles is greater? theta1=sin^(-1)(4/5)+sin^(-...

    Text Solution

    |

  2. Find the value underset(n rarr oo)("lim") underset(k =2)overset(n)su...

    Text Solution

    |

  3. If sin^(-1)((4x)/(x^2+4))+2tan^(-1)(-x/2) is independent of x , find t...

    Text Solution

    |

  4. If cos^(-1)((6x)/(1+9x^2))=-pi/2+2tan^(-1)3x , then find the value of ...

    Text Solution

    |

  5. The greater of the two angles A=2tan^(-1)(2sqrt(2)-1) and B=3sin^(-1)(...

    Text Solution

    |

  6. Prove that sin^(-1)((2x)/(1+x^2))=tan^(-1)((2x)/(1-x^2))

    Text Solution

    |

  7. Column I, Column II Range of f(x)=sin^(-1)x+cos^(-1)x+cot^(-1)xi s ,...

    Text Solution

    |

  8. Find the value of 2cos^(-1)(3/(sqrt(13)))+cot^(-1)(16/63)+1/2cos^(-1)(...

    Text Solution

    |

  9. Prove that 2cos^(-1)x=sin^(-1)(2xsqrt(1-x^2))

    Text Solution

    |

  10. Solve 2 cos^(-1) x = sin^(-1) (2 x sqrt(1 - x^(2)))

    Text Solution

    |

  11. Find the domain for f(x)=sin^(-1)((1+x^2)/(2x))

    Text Solution

    |

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

    Text Solution

    |

  13. Find the set of values of parameter a so that the equation (sin^(-1)x)...

    Text Solution

    |

  14. Solve the equation sqrt(|sin^(-1)| cos x|| + |cos^(-1)| sin x||) = sin...

    Text Solution

    |

  15. If pgtqgt0 and prlt-1ltqr, then find the value of tan^(-1)((p-q)/(1+pq...

    Text Solution

    |

  16. Prove that: tan^-1((c1x-y)/(c1y+x))+tan^-1((c2-c1)/(1+c2c1))+tan^-1((c...

    Text Solution

    |

  17. Find the number of positive integral solution of the equation tan^(-1)...

    Text Solution

    |

  18. If tan^(-1)y=4tan^(-1)x then prove that x^4-6x^2+1=0 when 1/y = 0 and ...

    Text Solution

    |

  19. Find the sum cosec^(-1)sqrt(10)+cosec^(-1)sqrt(50)+cosec^(-1)sqrt(170)...

    Text Solution

    |

  20. Let f(x)=sinx+cosx+tanx+sin^(-1)x+cos^(-1)x+tan^(-1)xdot Then find the...

    Text Solution

    |