Home
Class 12
MATHS
If 180^(@) lt theta lt 270^(@), sin the...

If ` 180^(@) lt theta lt 270^(@), sin theta =-4//5 , " then " tan theta //2=`

A

`sqrt(2)`

B

`-1//sqrt(5)`

C

`2//sqrt(5)`

D

`-2 `

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1 D ( TRANSFORMATIONS )|94 Videos

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1 E ( TRIGONOMETRIC IDENTITIES )|49 Videos

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1 B ( COMPOUNDS ANGLES )|106 Videos

  • TRIGONOMETRIC EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 4|4 Videos

Similar Questions

Explore conceptually related problems

If 180^(@) lt theta lt 270^(@) , sin theta =-3//5 , then cos theta //2=

I : If 180^(@) lt theta lt 270^@ , sin theta = -3//5 " then " cos theta //2 -=1//10 . II : If 630^(@) lt theta lt 720^(@) , |tan theta | =12//5 " then " tan theta//2= 2//3

If 180^(@) lt theta lt 270^(@) , tan theta = 5//12 , " then " cos 3 theta =

If 180^(@) lt theta lt 270^(@) and sin theta = -5//13 then 5 cot^(2) theta + 12 tan theta + 13 "cosec" theta =

If tan theta = -4//3 " then " sin theta =

If 90^(@) lt theta lt 180^(@) , cos theta =-12//13 , then sin 2 theta =

If 270^(@) lt theta lt 360^(@) and cos theta = (5)/(13) " then " (13 sin theta + 5 tan theta )/( 12 cot theta - 5 sec theta )=

DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC RATIOS AND IDENTITIES -EXERCISE 1 C ( MULTIPLE AND SUBMULTIPLE ANGLES )
  1. If theta is an acute angle , cos theta = 7//25 , then tan 3 theta ...

    Text Solution

    |

  2. If 180^(@) lt theta lt 270^(@) , sin theta =-3//5 , then cos theta //...

    Text Solution

    |

  3. If 180^(@) lt theta lt 270^(@), sin theta =-4//5 , " then " tan theta...

    Text Solution

    |

  4. If 630^@ lt A lt 720^(@) , |tan A|=12//5, " then " tan A//2=

    Text Solution

    |

  5. If sin A = (336)/(625) " where " 450^(@) lt A lt 540^(@) , " then " s...

    Text Solution

    |

  6. cot A + tan A =

    Text Solution

    |

  7. tan A + cot 2A=

    Text Solution

    |

  8. tan alpha + 2 tan 2alpha + 4 tan 4 alpha + 8 cot 8 alpha =

    Text Solution

    |

  9. tan theta + 2 tan 2 theta + 4 tan 4theta + 8 tan 8 theta + 16 tan 16 t...

    Text Solution

    |

  10. tan""((5pi)/(32))+ 2 tan""((5pi)/(16))+4 tan""((5pi)/8)-cot""((5pi)/(3...

    Text Solution

    |

  11. (1+ sec 20^(@))(1+ sec 40^(@))(1+ sec 80^(@))=

    Text Solution

    |

  12. (2 cos theta - 1 ) ( 2 cos 2 theta -1)(2 cos 4 theta -1)(2 cos 8 theta...

    Text Solution

    |

  13. tan 2A- sec A sin A =

    Text Solution

    |

  14. sin 2 alpha - cos 2 alpha tan alpha =

    Text Solution

    |

  15. ( sin 3A + sin A) sin A + ( cos 3A- cos A ) cos A =

    Text Solution

    |

  16. If ( cos 3A+ sin 3A)/( cos A - sin A )=1-k sin 2A , the value of k is

    Text Solution

    |

  17. sin 3 theta * cos^(3) theta + cos 3 theta * sin^(3) theta =

    Text Solution

    |

  18. If cos^(6) theta + sin^(6) theta + k sin^(2) 2theta=1 , then k=

    Text Solution

    |

  19. The value of cos^(2)A(3-4 cos^(2)A)^(2) + sin^(2)A(3-4 sin^(2)A)^(2)...

    Text Solution

    |

  20. ( cos 2 alpha)/( cos^(4) alpha - sin^(4) alpha ) -(cos^(4) alpha + si...

    Text Solution

    |