Home
Class 12
MATHS
Prove that : "tan"^(-1)3/4+"sin"^(-1)5/1...

Prove that : `"tan"^(-1)3/4+"sin"^(-1)5/13="cos"^(-1)33/65`

Text Solution

Verified by Experts

The correct Answer is:
NA
NA
Promotional Banner

Topper's Solved these Questions

  • RELATION, FUNCTION & ITF

    RESONANCE|Exercise MATCH THE COLUMN|5 Videos

  • RELATION, FUNCTION & ITF

    RESONANCE|Exercise SCQ_TYPE|97 Videos

  • RELATION, FUNCTION & ITF

    RESONANCE|Exercise SSP|55 Videos

  • NUMBER THEORY

    RESONANCE|Exercise Exercise -2 (PART - II)|4 Videos

  • SEQUENCE & SERIES

    RESONANCE|Exercise EXERCISE -2 (PART-II : PREVIOUSLY ASKED QUESTION OF RMO)|3 Videos

Similar Questions

Explore conceptually related problems

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

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

Prove that cot^(-1).(3)/(4) + sin^(-1).(5)/(13) = sin^(-1).(63)/(65)

Prove that : tan^(-1)(1/2) + tan^(-1)(1/3) = tan^(-1)(3/5) + tan^(-1)(1/4) = pi/4

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

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

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

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

Prove that tan^(-1). 1/2 +tan^(-1). 1/5 = 1/2 cos^(-1). 16/65

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

RESONANCE-RELATION, FUNCTION & ITF-SUBJECTIVE_TYPE
  1. tan^(-1)x + cot^(-1) (1/x) + 2tan^(-1)z =pi, then prove that x + y + 2...

    Text Solution

    |

  2. If cos^(-1)x+2sin^(-1)x+3cot^(-1)y+4tan^(-1)y=4sec^(-1)z+5cosec^(-1)z,...

    Text Solution

    |

  3. Consider f(x)=tan^(-1)(2/x),g(x)=sin^(-1)(2/(sqrt(4+x^(2)))) and h(x)=...

    Text Solution

    |

  4. Prove each of the following tan^(-1) x=-pi +cot^(-1) 1/x=sin^(-1) (x...

    Text Solution

    |

  5. Prove each of the following relation: cos^(-1)x=sec^(-1)1/x=pi-sin^(...

    Text Solution

    |

  6. Express in terms of : "tan"^(-1)(2x)/(1-x^(2) to tan^(-1)x for xgt1

    Text Solution

    |

  7. Express in terms of : sin^(-1)(2xsqrt(1-x^(2))) to sin^(-1)x for 1gexg...

    Text Solution

    |

  8. Express in terms of : cos^(-1)(2x^(2)-1) to cos^(-1)x for -1lexlt0

    Text Solution

    |

  9. Simplity tan{1/2sin^(-1)((2x)/(1+x^(2)))+1/2cos^(-1)(1-y^(2))/(1+y^(2)...

    Text Solution

    |

  10. Solve for x : cos(2sin^(-1)x)=1/3

    Text Solution

    |

  11. Solve for x : cot^(-1)x+tan^(-1)3=(pi)/2

    Text Solution

    |

  12. Solve : tan^(-1)(x-1)/(x-2)+tan^(-1)(x+1)/(x+2)=pi/4

    Text Solution

    |

  13. Solve sin^(-1)x+sin^(-1)2x=pi/3dot

    Text Solution

    |

  14. Prove that sin^(- 1)(8/17)+sin^(- 1)(3/5)=sin^(- 1)(77/85)

    Text Solution

    |

  15. Prove that : "tan"^(-1)3/4+"sin"^(-1)5/13="cos"^(-1)33/65

    Text Solution

    |

  16. Prove: sin^(-1)(1/sqrt5)+cot^(-1)3=pi/4

    Text Solution

    |

  17. Prove that ta n^-1 1/3 + ta n ^-1 1/5 + ta n ^-1 1/7 + ta n ^-1 1/8 =...

    Text Solution

    |

  18. Find the sum of each of the following series :(i) tan^-1(1/(x^2+x+1))+...

    Text Solution

    |

  19. Find the sum of the series :(tan^- 1)1/3+(tan^- 1)2/9+....+(tan^- 1)(2...

    Text Solution

    |

  20. The sum of the infinte series sin^(-1)(1/sqrt(2))+sin^(-1)((sqrt(2)-1)...

    Text Solution

    |