Home
Class 11
MATHS
Prove that 2sin^-1(3/5)-Cos^-1""5/13=Cos...

Prove that `2sin^-1(3/5)-Cos^-1""5/13=Cos^-1(323/325)`.

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|7 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise EXERCISE I|31 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise EXERCISE 7.1 (VERY SHORT ANSWER QUESTIONS)|32 Videos

  • INVERSE TRIGNOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II PRACTICE SHEET (ADVANCED) INTEGER TYPE QUESTIONS)|7 Videos

  • INVERSET TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL-II PRACTICE SHEET (ADVANCED) INTEGER TYPE QUESTIOS)|5 Videos

Similar Questions

Explore conceptually related problems

Prove that Sin^-1""3/5+Sin^-1""8/17=Cos^-1""36/85

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

sin^(-1)(3/5)+sin^(-1)(5/13)=

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

Prove that Sin^-1""4/5+Sin^-1""5/13+Sin^-1(16/65)=pi/2

Sin^(-1)(3/5)+Cos^(-1)(5/sqrt34)=

Prvoe that sin^(-1)""(3)/(5) + cos^(-1) ""(12)/(13) = cos^(-1) ""(33)/(65) .

Prove that "Sin"^(-1)3/5+"Cos"^(-1)15/17="Sin"^(-1)77/85

AAKASH SERIES-INVERSE TRIGONOMETRIC FUNCTIONS-EXERCISE 7.1 ( SHORT ANSWER QUESTIONS)
  1. Show that tan[2 tan^(-1)((sqrt(5)-1)/(2))]=2

    Text Solution

    |

  2. "Tan"^(-1)1/4+"Tan"^(-1)2/9=

    Text Solution

    |

  3. Prove that 2sin^-1(3/5)-Cos^-1""5/13=Cos^-1(323/325).

    Text Solution

    |

  4. Prove that "Sin"^(-1)4/52"+Tan"^(-1)1/3=(pi)/2

    Text Solution

    |

  5. If alpha = Tan^(-1)((sqrt(1+x^2)-sqrt(1-x^2))/(sqrt(1+x^2)+sqrt(1-x^2)...

    Text Solution

    |

  6. If Cos^(-1)p+Cos^(-1)q+Cos^(-1)r = pi then, P.T. p^(2)+q^(2)+r^(2) = 2...

    Text Solution

    |

  7. If Sin^(-1)x+Sin^(-1)y+Sin^(-1)z=pi then prove that n xsqrt(1-x^(2))+y...

    Text Solution

    |

  8. If Tan^(-1)x+Tan^(-1)y + Tan^(-1)z = (pi)/2, then prove that xy + yz +...

    Text Solution

    |

  9. If Tan^(-1)x+Tan^(-1)y + Tan^(-1)z = (pi)/2, then prove that xy + yz +...

    Text Solution

    |

  10. tan[2Tan^(-1)((sqrt(1+x^(2))-1)/x)]=

    Text Solution

    |

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

    Text Solution

    |

  12. If Cos^(-1)p+Cos^(-1)q+Cos^(-1)r = pi then, P.T. p^(2)+q^(2)+r^(2) = 2...

    Text Solution

    |

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

    Text Solution

    |

  14. solve the following equations cos(2sin^(-1)x)=1/9

    Text Solution

    |

  15. solve the following equations tan(arc"cos"1/x)=sin(arc"cot"1/2),x!=0

    Text Solution

    |

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

    Text Solution

    |

  17. If "Sin"^(-1)5/x+"Sin"^(-1)12/x=pi/2, then x =

    Text Solution

    |

  18. solve the following equations sin^(-1)x+sin^(-1)2x=(pi)/3

    Text Solution

    |

  19. Solve the following equations : sin^(-1)(1-x)-2sin^(-1)x=(pi)/2 the...

    Text Solution

    |

  20. solve the following equations Cot^(-1)((1+x)/(1-x))=1/2Cot^(-1)(1/x)...

    Text Solution

    |