Home
Class 12
MATHS
If 0 lt x ltpi and cos x + sin x = 1...

If `0 lt x ltpi` and` cos x + sin x = 1/2 `, then tan x is

A

`((1- sqrt(7)))/(4)`

B

`((4-sqrt(7)))/(3)`

C

`-((4+sqrt(7)))/(3)`

D

`((1+sqrt(7)))/(4)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE|44 Videos
  • THREE DIMENSIONAL GEOMETRY

    NEW JOYTHI PUBLICATION|Exercise Objective|36 Videos
  • VECTOR ALGEBRA

    NEW JOYTHI PUBLICATION|Exercise CONTINUOUS EVALUATION|2 Videos

Similar Questions

Explore conceptually related problems

If 0 lt x lt 2 pi and |cos x| le sin x , then

Find sin (x - y) given that sin x = (8)/(17) with 0 lt x lt (pi)/(2) and cos y = - (24)/(25) with pi lt y lt (3pi)/(2) .

Let f(x)=|[1+sin ^2 x, cos ^2 x , 4 sin 2 x],[ sin ^2 x ,1+cos ^2 x , 4 sin 2 x],[ sin ^2 x , cos ^2 x , 1+4 sin 2 x]| , the maximum value of f(x) is

simplify : tan^(-1) ""((a cos x- b sin x )/(b cos x + a sin x ) ) (- pi )/(2) lt x lt pi/2 , a/b tan x gt -1

Find the values of cos x and tan x if sin x = - (3)/(5) and pi lt x lt (3pi)/(2) .

(sin x + sin 3x )/( cos x + cos 3x )= tan 2x

Prove that (sin 4x + sin 2x)/(cos 4x + cos 2x) = tan 3x .

Show that (sin 8x cos x - sin 6x cos 3x)/(cos 2x cos x - sin 3x sin 4x) = tan 2x

NEW JOYTHI PUBLICATION-TRIGONOMETRIC FUNCTIONS-QUESTIONS FROM COMPETITIVE EXAMS
  1. Let theta in [ 0, pi/2] which one of the following is true ?

    Text Solution

    |

  2. The value of tan (1^@ ) + tan (89 ^@ ) is equal to

    Text Solution

    |

  3. Let Sn = cos ((n pi )/( 10)) , n = 1,2,3,…… then the value of ( s...

    Text Solution

    |

  4. If sin theta + cosec theta =2 ,then the value of sin ^6 thet...

    Text Solution

    |

  5. If 0 lt x lt pi then ( sin 8x + 7 sin 6x + 18 sin 4x ...

    Text Solution

    |

  6. the number of solution of tanx + sec x = 2 cos x "in " [0,2 pi] ...

    Text Solution

    |

  7. In a triangle with sides a,b,c,r1 gt r2 gt r3 ( which are the ex...

    Text Solution

    |

  8. the sum of the radii of inscribed and circumscribed circules for...

    Text Solution

    |

  9. IF in triangle ABC a cos ^2 ((C )/(2 )) c cos ^2 ((A) /(2...

    Text Solution

    |

  10. Let alpha , beta be such pi lt alpha- beta lt 3 pi if sin...

    Text Solution

    |

  11. If u = sqrt( a^2cos^2 theta +b^2 sin ^2 theta ) + sqrt( a^2 sin^2 ...

    Text Solution

    |

  12. The sides of a triangle are sin alpha , cos alpha and sqrt( 1...

    Text Solution

    |

  13. A person standing on the bank of a river observes that the angl...

    Text Solution

    |

  14. In a triangle PQR " if " angle R = (pi)/(2) if tan (P/2)and tan...

    Text Solution

    |

  15. in a triangle ABC , let angle C = (pi)/(2) if r the in radiu...

    Text Solution

    |

  16. IF in a Delta ABC , the altitudes from the vertices A,B,C on o...

    Text Solution

    |

  17. The number of value of x in the interval [0,3pi] satisfying the ...

    Text Solution

    |

  18. If 0 lt x ltpi and cos x + sin x = 1/2 , then tan x is

    Text Solution

    |

  19. A tower stands at the centre of a circular park .A and B are ...

    Text Solution

    |

  20. AB is a vertical pole with B at the ground level and A at th...

    Text Solution

    |