Home
Class 11
MATHS
If sintheta=(-4)/(5)andtheta lies in thi...

If `sintheta=(-4)/(5)andtheta` lies in third quadrant, then the value of `cos""(theta)/(2)` is

A

`(1)/sqrt(5)`

B

`-(1)/(sqrt(10))`

C

`-(1)/sqrt(5)`

D

`(1)/(sqrt(10))`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise SOLUTION OF NCERT EXEMPLAR PROBLEMS (FILLERS)|17 Videos

  • TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE (KNOWLEDGE TEST)|15 Videos

  • TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise SOLUTION OF NCERT EXEMPLAR PROBLEMS (LONG ANSWER TYPE QUESTIONS)|10 Videos

  • STRAIGHT LINES

    KUMAR PRAKASHAN|Exercise Question of Module (Knowledge Test :)|18 Videos

Similar Questions

Explore conceptually related problems

If tantheta = 3andtheta lies in third quadrant, then the value of sintheta is

If tan theta=(1)/sqrt(5) and theta lies in the first quadrant, the value of cos theta is :

If tan theta = 3 and theta is in third quadrant then sin theta = 3/sqrt10 .

sectheta=(17)/(2)andtheta is in IV^(th) quadrant. Find the value of other trigonometric functions.

If sintheta+costheta=1 , then the value of sin(2theta) is

If cosx=(-3)/(5),x lies in the third quadrant, find the values of other five trigonometric functions.

If cos x=3/5 and x lies in the fourth quadrant find the values of cosec x+ cot x .

If costheta = 5/3 then what is the value of cos(theta/2) ?

If tan^(4)theta +tan^(2) theta = 1 , then the value of cos^(4)theta +cos^(2)theta is-

KUMAR PRAKASHAN-TRIGONOMETRIC FUNCTIONS -SOLUTION OF NCERT EXEMPLAR PROBLEMS (OBJECTIVE TYPE QUESTIONS)
  1. If tanalpha=(m)/(m+1)andtanbeta=(1)/(2m+1) then (alpha+beta) is equal ...

    Text Solution

    |

  2. The minimum value of 3cosx+4sinx+8 is

    Text Solution

    |

  3. The value of tan3A-tan2A-tanA is

    Text Solution

    |

  4. The value of sin(45^(@)+theta)-cos(45^(@)-theta) is

    Text Solution

    |

  5. The value of cot((pi)/(4)+theta)cot((pi)/(4)-theta) is

    Text Solution

    |

  6. cos2thetacos2phi+sin^(2)(theta-phi)-sin^(2)(theta+phi) is equal to

    Text Solution

    |

  7. The value of cos12^(@)+cos84^(@)+cos156^(@)+cos132^(@) is

    Text Solution

    |

  8. If tanA=(1)/(2)andtanB=(1)/(3), then tan(2A+B) is equal to

    Text Solution

    |

  9. The value of sin""(pi)/(10)sin""(13pi)/(10) is

    Text Solution

    |

  10. The value of sin50^(@)-sin70^(@)+sin10^(@) is

    Text Solution

    |

  11. If sintheta+costheta=1, then the value of sin(2theta) is

    Text Solution

    |

  12. If alpha+beta=(pi)/(4), then the value of (1+tanalpha)(1+tanbeta) is

    Text Solution

    |

  13. If sintheta=(-4)/(5)andtheta lies in third quadrant, then the value of...

    Text Solution

    |

  14. The number of solutions of equation tanx+secx=2cosx lying in the inter...

    Text Solution

    |

  15. The value of sin((pi)/(18))+sin((pi)/(9))+sin((2pi)/(9))+sin((5pi)/(18...

    Text Solution

    |

  16. If A lies in the second quadrant and 3tanA+4=0, then the value of 2cot...

    Text Solution

    |

  17. The value of cos^(2)48^(@)-sin^(2)12^(@) is

    Text Solution

    |

  18. If tanalpha=(1)/(7)andtanbeta=(1)/(3), then cos2alpha is equal to

    Text Solution

    |

  19. If tantheta=(a)/(b), then bcos2theta+asin2theta is equal to

    Text Solution

    |

  20. If for real values of x, costheta=x+(1)/(x), then

    Text Solution

    |