Home
Class 12
MATHS
Show that sin^-1 (3/5)+cos^-1(12/13)=co...

Show that `sin^-1 (3/5)+cos^-1(12/13)=cos^-1(33/65)=sin^-1(56/65)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRALS

    RD SHARMA ENGLISH|Exercise All Questions|1443 Videos

  • LINEAR PROGRAMING

    RD SHARMA ENGLISH|Exercise All Questions|4 Videos

Similar Questions

Explore conceptually related problems

Prove that: sin^-1(3/5)-cos^-1(12/13)=sin^-1(16/65)

Prove that: cos^(-1)(4/5)+cos^(-1)(12/13)=cos^(-1)(33/65)

Show that sin^(-1)(3/5)-sin^(-1)(8/17)=cos^(-1)(84/85)

Prove that: sin^-1 (3/5) +cos^-1 (12/13)+cot^-1 (56/33)=pi/2

Show that: sin^(-1)(3/5)-sin^(-1)(8/17)=cos^(-1)(84/85)

Prove that cos^(-1)4/5cos^(-1)(12)/(13)=cos^(-1)(33)/(65)

Prove that cos^(-1) (3/5)+cos^(-1) (12/13) +cos^(-1)(63/65)=pi/2

Prove that cos^(-1)(4/5) + cos^(-1)((12)/(13))=cos^(-1)(33/65)

Show that sin^(-1)(3/5)-sin^(-1)(8/(17))=cos^(-1)(84/85) .

Prove that: cos^(-1)(12/13)+sin^(-1)(3/5)=sin^(-1)(56/65)

RD SHARMA ENGLISH-INVERSE TRIGONOMETRIC FUNCTION-All Questions
  1. Prove that: sin^(-1)(4/5)+sin^(-1)(5/(13))+sin^(-1)((16)/(65))=pi/2

    Text Solution

    |

  2. Prove that sin^(-1)(8/(17))+sin^(-1)(3/5)=cos^(-1)((36)/(85))

    Text Solution

    |

  3. Show that sin^-1 (3/5)+cos^-1(12/13)=cos^-1(33/65)=sin^-1(56/65)

    Text Solution

    |

  4. sin^(-1)(3x)/5+sin^(-1)(4x)/5=sin^(-1)x , then roots of the equatio...

    Text Solution

    |

  5. Solve the equation sin^(-1)x+sin^(-1)6sqrt(3)x=(-pi)/2dot

    Text Solution

    |

  6. Evaluate: cos(sin^(-1)3/5+sin^(-1)5/(13))

    Text Solution

    |

  7. Prove that: sin^(-1)((63)/(65))=sin^(-1)(5/(13))+cos^(-1)(3/5)

    Text Solution

    |

  8. Prove that : tan^(-1)(63)/(16)=sin^(-1)5/(13)+cos^(-1)3/5

    Text Solution

    |

  9. Prove that:(9pi)/8-9/4sin^(-1)1/3=9/4sin^(-1)(2sqrt(2))/3

    Text Solution

    |

  10. solve:sin^-1x+sin^-1 2x=pi/3

    Text Solution

    |

  11. Prove that: cos^(-1)4/5+cos^(-1)(12)/(13)=cos^(-1)(33)/(65)

    Text Solution

    |

  12. Show that sin^(-1)(3/5)-sin^(-1)(8/(17))=cos^(-1)(84/85) .

    Text Solution

    |

  13. If cos^(-1)(x/a)+cos^(-1)(y/b)=alpha, prove that (x^2)/(a^2)-2(x y)/(a...

    Text Solution

    |

  14. If cos^(-1)x+cos^(-1)y+cos^(-1)z=pi, prove that x^2+y^2+z^2+2x y z=1.

    Text Solution

    |

  15. If cos^(-1) (x/2) + cos^(-1) (y/3) =alpha then prove that 9x^2-12xycos...

    Text Solution

    |

  16. Solve the equation: cos^(-1)(a/x)-cos^(-1)(b/x)=cos^(-1)(1/b) - cos...

    Text Solution

    |

  17. Solve: cos^(- 1)xsqrt(3)+cos^(- 1)x=pi/2

    Text Solution

    |

  18. Prove that cos^(-1)(4/5) + cos^(-1)((12)/(13))=cos^(-1)(33/65)

    Text Solution

    |

  19. Evaluate: sin(2\ sin^(-1)0. 6)

    Text Solution

    |

  20. Evaluate: sin(3\ sin^(-1)0. 4)

    Text Solution

    |