Home
Class 11
MATHS
If cos theta =(5)/(13) and 270 ^(@) lt t...

If `cos theta =(5)/(13) and 270 ^(@) lt theta lt 360^(@)`, evaluate `sin ( theta //2) and cos ( theta//2)`

Text Solution

Verified by Experts

The correct Answer is:
`sin""theta/2=2/sqrt(13)`
`cos""theta/2=(-3)/sqrt(13)`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS UPTO TRANSFORMATIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE - 6(E)|20 Videos
  • TRIGONOMETRIC RATIOS UPTO TRANSFORMATIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE - 6(F)|20 Videos
  • TRIGONOMETRIC RATIOS UPTO TRANSFORMATIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE - 6(C)|40 Videos
  • TRIGONOMETRIC EQUATIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise SOLVED PROBLEMS |18 Videos

Similar Questions

Explore conceptually related problems

If cos theta =(-5)/(13) and (pi)/(2) lt theta lt pi , find the value of sin 2 theta

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

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

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

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

VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-TRIGONOMETRIC RATIOS UPTO TRANSFORMATIONS-EXERCISE - 6(D)
  1. (Cos^(3)theta-Cos3theta)/(Costheta)+(Sin^(3)theta+Sin3theta)/(Sintheta...

    Text Solution

    |

  2. Show that CosA=(Cos3A)/(2Cos2A-1). Hence find the value of Cos15^(@)

    Text Solution

    |

  3. Show that sin A= (sin 3A) /(1+2 cos 2A). Hence find the value of sin 1...

    Text Solution

    |

  4. Prove that tanalpha=(sigmatauv2alpha)/(1+chiosigma2alpha) and hence de...

    Text Solution

    |

  5. Show that 1/(sin 10^(@)) - (sqrt(3))/(cos 10^(@)) = 4.

    Text Solution

    |

  6. Prove that sqrt(3)"cosec"20^(@)-"sec"20^(@) =4.

    Text Solution

    |

  7. tan9^(@)-tan27^(@)-tan63^(@)+tan81^(@)=

    Text Solution

    |

  8. In a Delta ABC, If tan .(A)/(2)=(5)/(6) and tan .(B)/(2) =(20)/(37), ...

    Text Solution

    |

  9. If cos theta =(5)/(13) and 270 ^(@) lt theta lt 360^(@), evaluate sin ...

    Text Solution

    |

  10. If 180^(@) lt theta lt 270^(@) and sintheta=(-4)/5 calculate sin[theta...

    Text Solution

    |

  11. cos^(2) pi/8 + cos^(2) 3pi/8 + cos^(2) 5pi/8 + cos^(2) 7pi/8 =2 అని చూ...

    Text Solution

    |

  12. Show that cos^4""pi/8+cos^4""(3pi)/8+cos^4""(5pi)/8+cos^4""(7pi)/8=3/2

    Text Solution

    |

  13. tan x + tan (x +pi/3) + tan (x +2pi/3) =3 అయితే , tan 3x =1 అని చూపండి...

    Text Solution

    |

  14. Show that sin""(pi)/5.sin""(2pi)/5.sin""(3pi)/5.sin""(4pi)/5=5/16.

    Text Solution

    |

  15. cos^(2)(pi/10) + cos^(2) (2pi/5)+ cos^(2)(3pi/5) + cos^(2)(9pi/10) = 2...

    Text Solution

    |

  16. Prove that (1+cos""pi/10)(1+cos""(3pi)/10)(1+cos""(7pi)/10)(1+cos""(9p...

    Text Solution

    |

  17. Prove that cos""(2pi)/7.cos""(4pi)/7.cos""(8pi)/7=1/8.

    Text Solution

    |

  18. If cos alpha =(3)/(5) and cos beta =(5)/(13) and alpha, beta are acut...

    Text Solution

    |

  19. If cos alpha=3/5 and cos beta = 5/13 and alpha , beta are acute angles...

    Text Solution

    |

  20. If A is not an integral multiple of (pi), prove that cos A cos 2A cos ...

    Text Solution

    |