Home
Class 12
MATHS
If Sin^(-1)(3//5)+Sin^(-1)(5//13)=Sin^(-...

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

A

51/65

B

52/65

C

56/65

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
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)(4/5)-Sin^(-1)(5/13)=

Sin^(-1)(3/5)+Sin^(-1)(8/17)=

Sin^(-1)(3/5)-Cos^(-1)(12/13)=

cos("Sin"^(-1)3/5+"Sin"^(-1)5/13)=

If cos^(-1)(3/5)-sin^(-1)(4/5)=cos^(-1)x then x=

cos(sin^(-1)(5/13))=

sin^(-1)(4/5)+sin^(-1)(5/13)+sin^(-1)(16/65)=

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

Find cos(sin^(-1)3/5+sin^(-1)5/13)

DIPTI PUBLICATION ( AP EAMET)-INVERSE TRIGONOMETRIC FUNCTIONS-EXERCISE 1
  1. If "Sec"^(-1)1/(sqrt(1-x^(2)))+"Cot"^(-1)(sqrt(1-x^(2)))/x=Sin^(-1)k, ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. If a=sin(Cot^(-1)x)andb=cot(Sin^(-1)x) where xgt0, then 1//x^(2)-x^(2)...

    Text Solution

    |

  13. If Tan^(-1)2x+Tan^(-1)3x=pi//4, then x =

    Text Solution

    |

  14. If Tan^(-1)(x+1)+Tan^(-1)(x-1)=Tan^(-1)(8//31), then x =

    Text Solution

    |

  15. If Tan^(-1)(1+x)+Tan^(-1)(1-x)=pi//4 then x =

    Text Solution

    |

  16. A solution of the equation Tan^(-1)(1+x)-Tan^(-1)(x-1)=pi//2 is

    Text Solution

    |

  17. (Tan^(-1)x)^(2)+(Cot^(-1)x)^(2)=5pi^(2)//8rArrx=

    Text Solution

    |

  18. The arithmetic mean of the non-zero solutions of the equation "Tan"^...

    Text Solution

    |

  19. The number of real solutions of Tan^(-1)sqrt(x(x+1))+Sin^(-1)sqrt(x^(2...

    Text Solution

    |

  20. An integral solution of the equation Tan^(-1)x+Tan^(-1)(1//y)=Tan^(-1)...

    Text Solution

    |