Home
Class 12
MATHS
Value of sin{tan^(-1)x+tan^(-1) (1/x)} i...

Value of `sin{tan^(-1)x+tan^(-1) (1/x)}` is

A

1 for `x gt 0, -1 ` for `x lt 0`

B

1 for `x lt 0, -1` for `x gt 0`

C

1, for all `x ne 0`

D

`-1,` for all `x ne0`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICS

    FIITJEE|Exercise OBJECTIVE|84 Videos

  • MATHEMATICS

    FIITJEE|Exercise ASSERTION REASONING|8 Videos

  • MATHEMATICS

    FIITJEE|Exercise NUMERICAL DECIMAL BASED QUESTIONS|15 Videos

  • MATHEMATICAL REASONING

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-2|18 Videos

  • MATHEMATICS TIPS

    FIITJEE|Exercise NUMERICAL DECIMAL BASED QUESTIONS|21 Videos

Similar Questions

Explore conceptually related problems

The value of sin[cot^(-1){cos(tan^(-1) x)}] is

Find value of sin(tan^(-1)x)

tan(sin^(-1)x)

Evaluate: (i) sin(tan^(-1)x+(tan^(-1)1)/(x)) for x>0( ii) cot(tan^(-1)a+cot^(-1)a)

tan(sin^(-1)x+cos^(-1)x)

The value of sin cot^(-1)tan cos^(-1)x is equal to:

If (sin x + cos x)/(sin x - cos x) = (6)/(5) , then the value of (tan^(2) x + 1)/(tan^(2) x-1) is :

The value of cos [tan^-1 {sin (cot^-1 x)}] is

FIITJEE-MATHEMATICS -ASSIGNMENT (SECTION(I) MCQ(SINGLE CORRECT)
  1. The numerical value of tan (cos ^(-1) "" (4)/(5) + tan ^(-1)"" (2)/(3)...

    Text Solution

    |

  2. Solve the equation sin^(-1)y x+sin^(-1)6sqrt(3)x=(-pi)/2dot

    Text Solution

    |

  3. Value of sin{tan^(-1)x+tan^(-1) (1/x)} is

    Text Solution

    |

  4. If a sectheta = 1 -b tan theta and a^2 sec^2 theta = 5 + b^2 tan^2 the...

    Text Solution

    |

  5. If tan alpha = (1)/(sqrt (x (x ^(2) + x + 1))). tan beta = (sqrtx)/(sq...

    Text Solution

    |

  6. If int (0) ^(y) cos t ^(2) dt= int (0) ^(x ^(2)) (sint)/(t ) dt then ...

    Text Solution

    |

  7. If tan theta.tan phi = sqrt ((a -b)/(a +b)), then (a -b cos 2 theta)(...

    Text Solution

    |

  8. If n=2m+1,m in N uu {0}, then int0^(pi/2)(sin nx)/(sin x) dx is equal ...

    Text Solution

    |

  9. The set of values of x, for which (tan 3x - tan 2x)/(1+tan 3x tan 2x)=...

    Text Solution

    |

  10. For 0 lt theta lt pi/2, the solutions of sigma(m-1)^(6)"cosec"(theta+(...

    Text Solution

    |

  11. The root(s) of the expression 2sin^2 theta + sin^2 2theta=2 is

    Text Solution

    |

  12. Minimum value of sec ^(2) theta + cos ^(2) theta is

    Text Solution

    |

  13. If 1+sin x + sin^(2)x +….oo = 4 + 2sqrt(3), 0 lt x lt pi, x ne pi//2 t...

    Text Solution

    |

  14. Consider two points A = (-3, 0) and B = (0,4). If a point P on the li...

    Text Solution

    |

  15. If the family of lines lambdax + 3y - 6 = 0 (lambda is variable) inter...

    Text Solution

    |

  16. A line makes intercepts a and b with the coordinate axes. If the co...

    Text Solution

    |

  17. Distance of origin from the line (1+sqrt3)y+(1-sqrt3)x=10 along the li...

    Text Solution

    |

  18. A line passes through (1,0). The slope of the line, for which its inte...

    Text Solution

    |

  19. Consider the line passing through (sqrt 3,1) and (1,sqrt3) Then num...

    Text Solution

    |

  20. Let L(1)=0and L(2) =0 be two intarecting straight lines. Then the numb...

    Text Solution

    |