Home
Class 12
MATHS
IF sintheta=-1/3 and theta does not lie ...

IF `sintheta=-1/3` and `theta` does not lie in the `3^(rd)` quadrant, find the value of `cos theta` and `cot theta`

Text Solution

Verified by Experts

The correct Answer is:
`=sqrt(1-1//9)=sqrt8//9`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIONS, TRANSFORMATIONS

    SRISIRI PUBLICATION|Exercise LAQ|64 Videos

  • TRIGONOMETRIC RATIONS, TRANSFORMATIONS

    SRISIRI PUBLICATION|Exercise LAQ|64 Videos

  • TRIGONOMETRIC EQUATIONS

    SRISIRI PUBLICATION|Exercise SPQ|8 Videos

Similar Questions

Explore conceptually related problems

IF sintheta=-1/3 and theta does not lie in the 3^(rd) quadrant, find the value of sec theta ,and cot theta .

IF sintheta=4/5 and theta is not in the first quadrant, find the value of cos theta , tan theta .

IF sin theta=4/5 and theta is not in the first quadrant, find the value of cos theta .

If tan theta = -4//3 and theta is not in the fourth quadrant , then the value of 5 sin theta + 10 cos theta + 9 sec theta + 16 " cosec" theta + 4 cot theta =

If sin theta = k , 0 lt k lt 1 and ' theta ' does not lie in the first quadrant , then tan theta =

SRISIRI PUBLICATION-TRIGONOMETRIC RATIONS, TRANSFORMATIONS-VSAQ
  1. Find the value of sin^(2)""(pi)/(10)+sin^(2)""(4pi)/(10)+sin^(2)""(6pi...

    Text Solution

    |

  2. If tan20^(@) = lambda then show that (tan 160^(@) -tan 110^(@))/(1+tan...

    Text Solution

    |

  3. IF sintheta=-1/3 and theta does not lie in the 3^(rd) quadrant, find t...

    Text Solution

    |

  4. IF sintheta=4/5 and theta is not in the first quadrant, find the value...

    Text Solution

    |

  5. If "sec" theta + tan theta = 2//3, then find the value of sin theta an...

    Text Solution

    |

  6. If acos theta -bsin theta =c, then show that asine theta + bcos =pm s...

    Text Solution

    |

  7. If 3sin A + 4 cos A = 5, then find the value of 4 sin theta - 3 cos th...

    Text Solution

    |

  8. If cos theta + sin theta = sqrt(2) cos theta then S.T cos theta - sin ...

    Text Solution

    |

  9. Show that sin 1140^(@) cos 390^(@)-cos 780^(@) sin 750^(@) = 1//2.

    Text Solution

    |

  10. Show that cos 340^(@) cos 40^(@)+sin 200^(@) sin 140^(@) = 1/2.

    Text Solution

    |

  11. Find the value of tan 100^(@)+tan125^(@)+tan 100^(@). Tan 125^(@).

    Text Solution

    |

  12. Prove that tan 50^(@) -tan40^(@)-2tan10^(@).

    Text Solution

    |

  13. Prove that (cos 9^(@)+sin9^(@))/(cos9^(@)-sin9^(@)) = cot 36^(@).

    Text Solution

    |

  14. Show that cos 42^(@) + cos 78^(@) + cos 162^(@) = 0

    Text Solution

    |

  15. Prove that sin 50^(@) - sin 70^(@) +sin 10^(@) =0.

    Text Solution

    |

  16. Prove that cos 48^(@) . Cos 12^(@) =(3+sqrt5)/(8).

    Text Solution

    |

  17. Find the value of sin^(2)82 1/2-sin^(2)22 1/2.

    Text Solution

    |

  18. Prove that sin^(2)42^(@)-cos^(2)78^(@).

    Text Solution

    |

  19. Find the value of cos^(2)52(1^@)/(2) - sin^(2)22 (1^@)/2

    Text Solution

    |

  20. Find the period of f(x) = sin(5x+3)AA x in R.

    Text Solution

    |