Home
Class 11
MATHS
If theta lies in the first quadrant a...

If ` theta ` lies in the first quadrant and ` 5 tan theta = 4 , " then " (5 sin theta - 3 cos theta )/( sin theta + 2 cos theta )=`

A

`(5)/(14)`

B

`(3)/(14)`

C

`(1)/(14)`

D

0

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMERTIC RATIOS

    AAKASH SERIES|Exercise EXERCISE- II|52 Videos
  • TRIGONOMERTIC RATIOS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|77 Videos
  • TRIGONOMERTIC RATIOS

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|11 Videos
  • TRIGNOMETRIC EQUATIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (PRACTICE SHEET (ADVANCED) INTEGER TYPE QUESTIONS)|2 Videos
  • TRIGONOMETRIC EQUATIONS

    AAKASH SERIES|Exercise Practice Exercise|49 Videos

Similar Questions

Explore conceptually related problems

If 3 cot theta = 5, then (5 sin theta - 3 cos theta)/(5 sin theta + 3 cos theta)

If tan theta = p/q then (p sin theta - q cos theta)/(p sin theta + q cos theta)=

If 5 tan theta = 4, then the value of (5 sin theta - 3 cos theta)/(5 sin theta + 3 cos theta) is

( sin 4 theta - sin 2 theta )/(cos 4 theta + cos 2 theta )=

4 sin 5 theta cos 3 theta sin 2 theta

If tan theta = 1 then find the value of (5 sin theta + 4 cos theta)/(5 sin theta - 4 cos theta)

( sin 3 theta )/( sin theta ) -(cos 3 theta )/( cos theta )=

( cos 3 theta - sin 3 theta )/( cos theta+ sin theta ) =

If 4 sin theta + 3 cos theta =5 then tan theta =

Find the value of (sin^4 theta - cos^4 theta)/(sin^2 theta - cos^2 theta)

AAKASH SERIES-TRIGONOMERTIC RATIOS-EXERCISE - I
  1. If tan 35^(@) = k , then the value of ( tan 145^(@) - tan 125^(@))/...

    Text Solution

    |

  2. If sin A = 3/5, tan B = 1/2 and pi/2 lt A lt pi and pi lt B lt (3pi)/...

    Text Solution

    |

  3. If theta lies in the first quadrant and 5 tan theta = 4 , " then "...

    Text Solution

    |

  4. If Sin^(2) theta = K^(2) ( 0 lt k lt 1) and 180^(@) lt theta lt 270^(@...

    Text Solution

    |

  5. If tan theta = 3/4 and theta is not in the first quadrant then (sin (p...

    Text Solution

    |

  6. If tan theta = p/q then (p sin theta - q cos theta)/(p sin theta + q c...

    Text Solution

    |

  7. a sin^(2) theta + b cos^(2) theta =c implies tan^(2) theta =

    Text Solution

    |

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

    Text Solution

    |

  9. If Tan theta = (2 x(x+1))/(2x+1) then Sin theta =

    Text Solution

    |

  10. If tan theta =(1)/(sqrt(7)) and theta is an acute angle , then ("cos...

    Text Solution

    |

  11. If alpha and beta are complementary angles then sin^(2)(90^(@)-alpha)+...

    Text Solution

    |

  12. cos^(2) 9^(@)+cos^(2)18^(@)+cos^(2) 27^(@)+...+cos^(2)81^(@)=

    Text Solution

    |

  13. sum(k=1)^3 cos^(2)((2k-1)(pi)/(12))=

    Text Solution

    |

  14. tan1^(@).tan2^(@).tan3^(@)...tan89^(@)=

    Text Solution

    |

  15. log10 tan1^@+log10 tan2^@+log10 tan3^@+......+log10 tan89^@=..........

    Text Solution

    |

  16. cot. (pi)/(20) cot. (3pi)/(20) cot. (5pi)/(20) cot. (7pi)/(20) cot. (9...

    Text Solution

    |

  17. Sin24^(@)+sin32^(@)+sin204^(@)+sin212^(@)=

    Text Solution

    |

  18. cos. (pi)/(7) + cos. (2pi)/(7) + cos. (3pi)/(7) + cos. (4pi)/(7) + cos...

    Text Solution

    |

  19. If A,B,C,D are the angles of a quadrilateral then cos""((A+B)/(2))+ ...

    Text Solution

    |

  20. If A,B,C,D are the angles of a cyclic quadrilateral then cos A + cos...

    Text Solution

    |