Home
Class 12
MATHS
tan(Cos^(-1)1//x)=sin(Cot^(-1)1//2),"if ...

`tan(Cos^(-1)1//x)=sin(Cot^(-1)1//2),"if "xne0` then x =

A

`pm3//5`

B

`pm3//sqrt5`

C

`pmsqrt(3//5)`

D

`pmsqrt3//5`

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

Sin^(-1)x-Cos^(-1)x=Sin^(-1)(3x-2),"if "xgt0 then x =

If Cos^(-1)x=Cot^(-1)(4//3)+Tan^(-1)(1//7) then x =

If 0 lt cos^(-1)x lt 1 and 1+sin(cos^(-1)x)+sin^(2)(cos^(-1)x)+sin^(3)(cos^(-1)x)+…infty=2 , then the value of 12x is

If x=tan^(-1)(1)+cos^(-1)(-1//2)+sin^(-1)(-1//2) and y=cos[1//2 cos^(-1)(1//8)] then

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

If Tan^(-1)((x-1)/(x-2))+Cot^(-1)((x+2)/(x+1))=pi/4 , then x =

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

Assertion: sin(cot^(-1)(1/2))=tan(cos^(-1)x) then the value of x=(sqrt(5))/3 Reason R: cos(tan^(-1)(sin(cot^(-1)x)))=sqrt(((1+x^(2))/(2+x^(2))))

If 0ltcos^(-1)x lt 1 and 1+sin(cos^(-1)x)+sin^(2)(cos^(-1)x)+sin^(3)(cos^(-1)x)+…….oo=2 , then the value of 12x^(2) is

DIPTI PUBLICATION ( AP EAMET)-INVERSE TRIGONOMETRIC FUNCTIONS-EXERCISE 1
  1. Sin^(-1)x-Cos^(-1)x=Sin^(-1)(3x-2),"if "xgt0 then x =

    Text Solution

    |

  2. If 2Tan^(-1)(cosx)=Tan^(-1)(2cosecx) then x =

    Text Solution

    |

  3. tan(Cos^(-1)1//x)=sin(Cot^(-1)1//2),"if "xne0 then x =

    Text Solution

    |

  4. The value of x where xgt0andtan(Sec^(-1)(1/x))=sin(Tan^(-1)2) is

    Text Solution

    |

  5. If Sin^(-1)((2a)/(1+a^(2)))+Sin^(-1)((2b)/(1+b^(2)))=2Tan^(-1)x, then ...

    Text Solution

    |

  6. If Tan^(-1)((x-1)/(x-2))+Cot^(-1)((x+2)/(x+1))=pi/4, then x =

    Text Solution

    |

  7. If Tan^(-1)((x+1)/(x-1))+Tan^(-1)((x-1)/x)=pi+Tan^(-1)(-7), then x =

    Text Solution

    |

  8. If 3Tan^(-1)(1/(2+sqrt3))-Tan^(-1)(1/x)=Tan^(-1)(1/3), then x =

    Text Solution

    |

  9. If "Cot"^(-1)4/3+"Cot"^(-1)5/3=Tan^(-1)k, then k =

    Text Solution

    |

  10. If "Sec"^(-1)1/(sqrt(1-x^(2)))+"Cot"^(-1)(sqrt(1-x^(2)))/x=Sin^(-1)k, ...

    Text Solution

    |

  11. If Cos^(-1)x=Cot^(-1)(4//3)+Tan^(-1)(1//7) then x =

    Text Solution

    |

  12. If Sin^(-1)(3//5)+Sin^(-1)(5//13)=Sin^(-1)x, then x =

    Text Solution

    |

  13. If "Cos"^(-1)3/5-"Sin"^(-1)4/5=Cos^(-1)x then x =

    Text Solution

    |

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

    Text Solution

    |

  15. If Cot^(-1)x+Sin^(-1)(1//sqrt5)=pi//4, then the value of x is

    Text Solution

    |

  16. If Cosec^(-1)x=2Cot^(-1)7+Cos^(-1)(3//5) then the value of x is

    Text Solution

    |

  17. If Tan^(-1)(secx+tanx)=pi//4+kx then k =

    Text Solution

    |

  18. Solve 3Sin^(-1)((2x)/(1+x^(2))) - 4 Cos^(-1)((1-x^(2))/(1+x^(2)))+2Tan...

    Text Solution

    |

  19. If 1/2Sin^(-1)[(3Sin2theta)/(5+4cos2theta)]=Tan^(-1)x, then x =

    Text Solution

    |

  20. If Sec^(-1)(x/a)-Sec^(-1)(x/b)=Sec^(-1)(b)-Sec^(-1)(a)andaneb, then x ...

    Text Solution

    |