Home
Class 12
MATHS
sin(Cot^(-1)(cos(Tan^(-1)x)))=...

`sin(Cot^(-1)(cos(Tan^(-1)x)))=`

A

`(sqrt(x^(2)+2))/(x^(2)+1)`

B

`(sqrt(x^(2)+1))/sqrt(x^(2)+2)`

C

`x/(sqrt(x^(2)+2))`

D

`1/(sqrt(x^(2)+2))`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET - 1)|6 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET - 2)|3 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET - 4)|5 Videos

  • INDEFINITE INTEGRATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SET-4)|4 Videos

  • LIMITS AND CONTINUITY

    DIPTI PUBLICATION ( AP EAMET)|Exercise Set -4|8 Videos

Similar Questions

Explore conceptually related problems

The value of x which satisfies sin(Cot^(-1) x) = cos(Tan^(-1) + (1+x)) is

The value of x which satisfies sin(cot^(-1)x)=cos(tan^(-1)(1+x)) is

The value of tan(sin^(-1)(cos(sin^(-1)x)))tan(cos^(-1)(sin(cos^(-1)x)))." where "x in (0, 1) is equal to

f(x)=sin{cot^(-1)(x+1)}-cos(tan^(-1)x), The value of x for which f(x) = 0 is

The value of x for which sin[cot^(-1)(1+x)]=cos(tan^(-1)x) is :

The value of x for which sin[cot^(-1)(1+x)]=cos(tan^(-1)x) is :

f(x)=sin{cot^(-1)(x+1)}-cos(tan^(-1)x), a=costan^(-1)sincot^(-1)x, b=cos(2cos^(-1)x+sin^(-1)x) If f(x)=0 then a^(2)=

f(x)=sin{cot^(-1)(x+1)}-cos(tan^(-1)x), a=costan^(-1)sincot^(-1)x, b=cos(2cos^(-1)x+sin^(-1)x) If a^(2)=26//51," then "b^(2)=

Sin^(-1)(sin3)+Cos^(-1)(cos7)-Tan^(-1)(tan5)=

DIPTI PUBLICATION ( AP EAMET)-INVERSE TRIGONOMETRIC FUNCTIONS-EXERCISE 1
  1. tan[2Tan^(-1)((sqrt(1+x^(2))-1)/x)]=

    Text Solution

    |

  2. tan(Cos^(-1)x)=

    Text Solution

    |

  3. sin(Cot^(-1)(cos(Tan^(-1)x)))=

    Text Solution

    |

  4. Prove that cos[Tan^(-1){sin(Cot^(-1)x)}] = sqrt((x^(2)+1)/(x^(2)+2))

    Text Solution

    |

  5. 2Tan^(-1)(cosx)=

    Text Solution

    |

  6. tan(2Tan^(-1)(sinx))=

    Text Solution

    |

  7. Tan^(-1)(cotx)-Tan^(-1)(cot2x)=

    Text Solution

    |

  8. 2Tan^(-1)((sqrt(a-b))/(a+b)"tan"x/2)=

    Text Solution

    |

  9. tan[1/2"Sin"^(-1)(2a)/(1+a^(2))+1/2"Cos"^(-1)(1-a^(2))/(1+a^(2))]=

    Text Solution

    |

  10. tan[1/2Sin^(-1)((2x)/(1+x^(2)))-1/2Cos^(-1)((1-y^(2))/(1+y^(2)))]=

    Text Solution

    |

  11. Prove that sin[Cot^(-1) (2x)/(1-x^2)+Cos^(-1)((1-x^(2))/(1+x^(2)))]=1.

    Text Solution

    |

  12. The value of tan[Tan^(-1)(1/(a+b))+Tan^(-1)(b/(a^(2)+ab+1))] is

    Text Solution

    |

  13. Prove that tan{(pi)/4 + 1/2 Cos^(-1)((a)/(b))}+tan{((pi)/4-1/2 Cos^(-1...

    Text Solution

    |

  14. Cot^(-1){(sqrt(1-sinx)+sqrt(1+sinx))/(sqrt(1-sinx)-sqrt(1+sinx))}=

    Text Solution

    |

  15. "Tan"^(-1)(a-b)/(1+ab)+"Tan"^(-1)(b-c)/(1+bc)+"Tan"^(-1)(c-a)/(1+ca)=

    Text Solution

    |

  16. Id a,b,c are distinct non-zero real numbers having the same sign. Prov...

    Text Solution

    |

  17. If a,b,c, are positive then tan^(-1)sqrt((a(a+b+c))/(bc))+tan^(-1)sq...

    Text Solution

    |

  18. "Tan"^(-1)(yz)/(xsqrt(x^(2)+y^(2)+z^(2)))+"Tan"^(-1)(zx)/(ysqrt(x^(2)+...

    Text Solution

    |

  19. "Tan"^(-1)(c(1)x-y)/(c(1)y+x)+"Tan"^(-1)(c(2)-c(1))/(1+c(2)c(1))+"Tan"...

    Text Solution

    |

  20. If "Tan"^(-1)1/(1+2)+"Tan"^(-1)1/(1+(2)(3))+"Tan"^(-1)1/(1+(3)(4))+......

    Text Solution

    |