Home
Class 11
MATHS
If 0 lt x lt pi and cos x + sin x = 1/2,...

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

A

`(1- sqrt7)/(4) `

B

`(4- sqrt7)/(3)`

C

`-(4+ sqrt7)/(3)`

D

`(sqrt7 +1)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES

    TARGET PUBLICATION|Exercise COMPETITIVE THINKING|101 Videos

  • TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES

    TARGET PUBLICATION|Exercise EVALUATION TEST|12 Videos

  • TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES

    TARGET PUBLICATION|Exercise EVALUATION TEST|12 Videos

  • STRAIGHT LINE

    TARGET PUBLICATION|Exercise EVALUATION TEST|10 Videos

  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|10 Videos

Similar Questions

Explore conceptually related problems

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

If 0 lt x lt pi/2 and sin^(n) x + cos^(n) x ge 1 , then

0 <= x <= 2 pi, 0 <= y <= 2 pi and sin x + sin y = 2, quad 0 <= x <= 2 pi, 0 <= y <= 2 pi and sin x + sin y = 2, then x + y =

If 0 lt x lt (pi)/(2) and sin^(n)x+cos^(n)x ge 1 , then 'n' may belong to interval :

If 0 lt x lt (pi)/(4), then sec 2x - tan 2x=

The value of x, satisfying the equation log_(cos x ) sin x =1 , where 0 lt x lt (pi)/(2) , is

If : sin x +cos x = sin 2 x + cos 2 x , "where" 0 lt x le (pi)/(2), "then x":=

TARGET PUBLICATION-TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES -CRITICAL THINKING
  1. If costheta=1/2(x+1/x) then 1/2(x^2+1/x^2)=

    Text Solution

    |

  2. If sin x+ cos x =1/5 and 0 le x le pi, then tan x is equal to

    Text Solution

    |

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

    Text Solution

    |

  4. If : tan((pi)/(4)+theta) - tan((pi)/(4) - theta) =m*tan (ntheta),"then...

    Text Solution

    |

  5. If sec 2 theta =p + tan 2 theta, then the value of sin^(2) theta in ...

    Text Solution

    |

  6. If theta and phi are angles in first quadrant and tantheta=1/7 and sin...

    Text Solution

    |

  7. If cos(theta-alpha) = a and cos(theta-beta) = b then the value of sin^...

    Text Solution

    |

  8. If tan^2theta=2tan^2varphi+1,t h e ncos2theta+sin^2varphi equals -1 (...

    Text Solution

    |

  9. If tantheta-cottheta=aandsintheta+costheta=b(b^2-1)^2(a^2+4) is equal...

    Text Solution

    |

  10. If sin A sin 2A = x and cos A + cos 2A = y, then (x^(2)+y^(2)) (x^(2)+...

    Text Solution

    |

  11. If tan x= (2b)/(a-c), a!=c, y = a cos^2 x +2b sin x*cos x + c sin^2x, ...

    Text Solution

    |

  12. 8*sin(x/8)*cos(x/2)*cos(x/4)*cos(x/8)=

    Text Solution

    |

  13. If x= cos 10^(@)cos 20^(@) cos 40^(@), then the value of x is

    Text Solution

    |

  14. If theta =(pi)/(2 ^(n) +1), then cos theta cos 2 theta cos 2^(2) the...

    Text Solution

    |

  15. cos(pi/7)cos((2pi)/7)cos((4pi)/7)=

    Text Solution

    |

  16. The value of co s pi/5 co s.2pi / 5 c o s 4pi / 5 co s 8pi / 5 =

    Text Solution

    |

  17. The value of (1)/(sin 10^(@)) -(sqrt3)/(cos 10^(@)) is equal to

    Text Solution

    |

  18. If |tanA|lt1and |A|is acute, then (sqrt(1+sin2A)+sqrt(1-sin2A))/(sqrt...

    Text Solution

    |

  19. If tanx=b/a then sqrt((a+b)/(a-b))+sqrt((a-b)/(a+b))=

    Text Solution

    |

  20. Show that: t a n(60^0+theta)t a n(60^0-theta)=(2cos2theta+1)/(2cos2the...

    Text Solution

    |