Home
Class 12
MATHS
If sin{cot^-1(x+1)}="cos"(tan^(-1)x), th...

If `sin{cot^-1(x+1)}="cos"(tan^(-1)x),` then find `x`

A

1

B

`1/2`

C

0

D

`-1/2`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION - B)(OBJECTIVE TYPE QUESTIONS (ONE OPTION IS CORRECT))|36 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION - C)(OBJECTIVE TYPE QUESTIONS (MORE THAN ONE OPTIONS ARE CORRECT))|13 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise TRY YOURSELF|21 Videos
  • INTEGRALS

    AAKASH INSTITUTE ENGLISH|Exercise Try yourself|50 Videos
  • LIMITS AND DERIVATIVES

    AAKASH INSTITUTE ENGLISH|Exercise Section - j|3 Videos

Similar Questions

Explore conceptually related problems

Evaluate: sin(cot^(-1)x) (ii) cos(tan^(-1)x)

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

Prove that tan(cot^(-1)x)=cot(tan^(-1)x)

Prove that tan(cot^(-1)x)=cot(tan^(-1)x)

Simplify sin(cot^(-1)(cos(tan^(-1)x))),0 ltxlt1 .

If alpha le sin^(-1)x+cos^(-1)x +tan^(-1)xlebeta then find the value of alpha and beta

sin(cot^(-1)(tan(tan^(-1)x))),"x" in (0," 1]

If alpha = sin^(-1) (cos(sin^-1) x)) and beta = cos^(-1) (sin (cos^(-1) x)) , then find tan alpha. tan beta.

Prove that: "sin"[cot^(-1){"cos"(tan^(-1)x)}]=sqrt((x^2+1)/(x^2+2)) cos [tan^(-1) (cot^(-1)x)}]=sqrt((x^2+1)/(x^2+2))

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

AAKASH INSTITUTE ENGLISH-INVERSE TRIGONOMETRIC FUNCTIONS-ASSIGNMENT (SECTION - A)(OBJECTIVE TYPE QUESTIONS (ONE OPTION IS CORRECT))
  1. cosec^(-1)(-x),x in R-(-1,1), is equal to

    Text Solution

    |

  2. cot^(-1)(-2) is equal to

    Text Solution

    |

  3. If sin{cot^-1(x+1)}="cos"(tan^(-1)x), then find x

    Text Solution

    |

  4. If sin^(-1)(x-(x^2)/2+(x^3)/4-ddot)+cos^(-1)(x^2-(x^4)/2+(x^6)/4)=pi/2...

    Text Solution

    |

  5. if tan^(-1)(1/x)+cos^(-1)(2/sqrt5)=pi/4 then x equals

    Text Solution

    |

  6. about to only mathematics

    Text Solution

    |

  7. If x1=cos^(-1)(3/5)+cos^(-1)((2sqrt2)/3)and x2=sin^(-1)(3/5)+sin^(-1)(...

    Text Solution

    |

  8. If tan(sin^(-1)sqrt(1-x^2))=sin(tan^(-1)2) then x is

    Text Solution

    |

  9. If 0 le x le 1 then cos^(-1)(2x^(2)-1) equals

    Text Solution

    |

  10. Express in terms of : sin^(-1)(2xsqrt(1-x^(2))) to sin^(-1)x for 1gexg...

    Text Solution

    |

  11. If sin^(-1)(5/x)+sin^(-1)((12)/x)=pi/2, then x is equal to 7/(13) (b)...

    Text Solution

    |

  12. y=tan^(-1)((sqrt(1+x^2)+sqrt(1-x^2))/(sqrt(1+x^2)-sqrt(1-x^2))),w h e ...

    Text Solution

    |

  13. If cos^(-1)""x/a+cos^(-1)""y/b=theta, Prove that x^(2)/a^(2)-(2xy)/(ab...

    Text Solution

    |

  14. tan^(-1)(1/2)+tan^(-1)(1/3) is equal to

    Text Solution

    |

  15. cos(tan^(-1)3/4)+cos(tan^(-1)x) is equal to

    Text Solution

    |

  16. If cot^(-1)x+tan^(-1)(1/2)=pi/4 then x is

    Text Solution

    |

  17. The value of cos^(-1)(-1)+sin^(-1)(1) is

    Text Solution

    |

  18. If sin^(- 1)(3/x)+sin^(- 1)(4/x)=pi/2 then x=

    Text Solution

    |

  19. The domain of the function f(x)=cos^(-1)((2-absx)/4) is

    Text Solution

    |

  20. The domain of definition of the function f(x)=sqrt(sin^(-1)(2x)+pi/6) ...

    Text Solution

    |