Home
Class 12
MATHS
Express each of the following in term...

Express each of the following in terms of other inverse circular functions :
`sin ^(-1)""(12)/(13)`

Text Solution

Verified by Experts

The correct Answer is:
`sin^(-1)""(12)/(13)=cos^(-1)""(5)/(13)=tan ^(-1)""(12)/(5) = "cosec"^(-1)""(13)/(12)=sec^(-1) ""(13)/(5)=cot^(-1)""(5)/(12)`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC INVERSE CIRCULAR FUNCTIONS

    CHHAYA PUBLICATION|Exercise Short answer type questions|45 Videos

  • TRIGONOMETRIC INVERSE CIRCULAR FUNCTIONS

    CHHAYA PUBLICATION|Exercise Long answer type questions|28 Videos

  • TRIGONOMETRIC INVERSE CIRCULAR FUNCTIONS

    CHHAYA PUBLICATION|Exercise EXERCISE 4|17 Videos

  • TRANSFORMATIONS OF SUMS AND PRODUCTS

    CHHAYA PUBLICATION|Exercise Comprehension Type|6 Videos

  • TRIGONOMETRIC RATIOS OF ASSOCIATED ANGLES

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTIONS FOR COMPETITIVE EXAMS - ASSERTION-REASON TYPE|2 Videos

Similar Questions

Explore conceptually related problems

Find prinicipal values for inverse circular functions sin^(-1)(sin ""(2pi)/(3))

Find prinicipal values for inverse circular functions cos^(-1)(cos ""5)

Which of the following functions has inverse function?

State with arguments , in which of the following cases the inverse circular functions are undefined : "cosec"^(-1) ((1)/(2)) , cos ^(-1) (-(3)/(2) ), sin ^(-1)((1.7)/(1.8)) , cot ^(-1) (7) , sec ^(-1) ((4)/(5))

Express the other inverse circular functions in terms of tan ^(-1)y(y gt 0).

Find prinicipal values for inverse circular functions tan ^(-1) (tan ""(4)) .

Find prinicipal values for inverse circular functions cos ^(-1) (cos ""(7pi)/(6)) .

Find prinicipal values for inverse circular functions tan ^(-1) (tan ""(3pi)/(4)) .

Express the following as sum or difference of two trigonometric functions:- 2 cos 4x sin 2x

Express the following as sum or difference of two trigonometric functions:- 2 cos 6x sin 2x

CHHAYA PUBLICATION-TRIGONOMETRIC INVERSE CIRCULAR FUNCTIONS-Very short answer type Questions
  1. cos^(-1) ""(cos"" (7pi )/(6))

    Text Solution

    |

  2. sin^(-1)(sin ""(3pi)/(5))

    Text Solution

    |

  3. Express each of the following in terms of other inverse circular ...

    Text Solution

    |

  4. Express each of the following in terms of other inverse circular ...

    Text Solution

    |

  5. tan ^(-1) "" (1)/(2) + tan ^(-1) "" (2)/(11) = tan ^(-1)""(3)/(4)

    Text Solution

    |

  6. cos ^(-1)"" (1)/(sqrt(5))+ cos ^(-1) ""(2)/(sqrt(5))=(pi)/(2)

    Text Solution

    |

  7. 2 tan ^(-1) ""(1)/(2) = tan^(-1) ""(4) /(3)

    Text Solution

    |

  8. 2 tan ^(-1) ""(1)/(5)+tan^(-1)"" (1)/(8)= tan ^(-1) ""(4)/(7)

    Text Solution

    |

  9. sin ^(-1) ""(3)/(5) + sin ^(-1)""(8)/(17) = sin ^(-1)""(77)/(85)

    Text Solution

    |

  10. cos^(-1) ""(15)/(17) + cos ^(-1)""(3)/(5)= cos ^(-1) ""(13)/(85)

    Text Solution

    |

  11. tan ^(-1)"" a+ cot ^(-1)""b=cot ^(-1) ""(b-a)/(1+ab)

    Text Solution

    |

  12. 4(cot ^(-1)3+"cosec"^(-1) sqrt(5))=pi

    Text Solution

    |

  13. sin ^(-1) "" (1)/(sqrt(5))+cot ^(-1) 3= (pi)/(4)

    Text Solution

    |

  14. tan ^(-1) ""sqrt(x) =(1)/(2) cos^(-1) ""(1-x)/(1+x) , 0 le x le 1

    Text Solution

    |

  15. sec^(2) ( tan ^(-1)3) + "coses"^(2) (cot ^(-1) 4) = 27

    Text Solution

    |

  16. sec^(2) ( cot ^(-1) 2) + "cosec"^(2) (tan ^(-1)3)=2""(13)/(36)

    Text Solution

    |

  17. if two angles of a triangle are tan ^(-1)""(1)/(2) and tan^(-1...

    Text Solution

    |

  18. If two angles of a triangle are tan ^(-1) 2 and tan^(-1) 3, wha...

    Text Solution

    |

  19. 2 sin ^(-1 ) x= cos ^(-1) x

    Text Solution

    |

  20. tan ^(-1) ""(1)/(x)+tan ^(-1) ""2=(pi)/(2)

    Text Solution

    |