Home
Class 12
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

Text Solution

Verified by Experts

The correct Answer is:
`-((4+sqrt(7))/(3))`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Solved Examples : Single Option Correct Type Questions|2 Videos

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise For Session 1|10 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

  • VECTOR ALGEBRA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|9 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 n may belong to

Let y = sin^(-1) ((2x)/(1 + x^2)) where 0 lt x lt 1 and 0 lt y lt pi//2 then (dy)/(dx) is equal to

If 0 lt A lt pi//2 and sinA + cosA + tan A + cotA + secA + cosec A=7 and sinA and cosA are roots of equation 4x^(2) - 3x +a=0 . Then value of 25a is:

Lt f(x) = |cos x|, then

If 2 cos x lt sqrt(3) and x in [-pi, pi] , then find the solution set for x .

The values of a and b so that the function f(x) = {{:(x + a sqrt(2) sin x",",0 le x lt pi//4),(2 x cot x + b",",pi//4 le x le pi//2),(a cos 2 x - b sin x",",pi//2 lt x le pi):} is continuous for x in [0, pi] , are

If sec x cos 5x=-1 and 0 lt x lt (pi)/(4) , then x is equal to

If sin(30^(@) + " arc " tan x) = 13/14 " and " 0 lt x lt 1" , the value of x is " (a sqrt3)/b , where a and b are positive integers with no common factors . Find the value of ((a+b)/2) .

If 0 lt= x lt= (pi)/(2) and 81^(sin^(2)x) + 81^(cos^(2)x) =30 then x is equal to :

ARIHANT MATHS-TRIGONOMETRIC FUNCTIONS AND IDENTITIES-Exercise (Questions Asked In Previous 13 Years Exam)
  1. If 0 lt x lt pi and cos x + sin x = 1/2, then tan x is

    Text Solution

    |

  2. Let alpha and beta be non-zero real numbers such that 2 ( cos beta -...

    Text Solution

    |

  3. Let -pi/6 < theta < -pi/12. Suppose alpha1 and beta1, are the roots of...

    Text Solution

    |

  4. The value of overset(13)underset(k=1)(sum) (1)/(sin((pi)/(4) + ((k-1)p...

    Text Solution

    |

  5. Let f:(-1,1)vecR be such that f(cos4theta)=2/(2-sec^2theta) for theta ...

    Text Solution

    |

  6. The number of all possible values of theta, where 0 lt theta lt pi, fo...

    Text Solution

    |

  7. For 0 lt theta lt pi/2 , the solution (s) of sum(m=1)^6cos e c(theta+(...

    Text Solution

    |

  8. If sin^ 4 x/2+cos^4 x/3 =1/5 then

    Text Solution

    |

  9. Let theta in (0, pi/4) and t(1)=tan theta)^(tan theta), t(2)=(tan thet...

    Text Solution

    |

  10. if cos(alpha-beta)=1a n dcos(alpha+beta)=l/e , where alpha,betamu in [...

    Text Solution

    |

  11. If 5 (tan ^(2) x - cos ^(2) x ) = 2 cos 2x +9, then the value of cos 4...

    Text Solution

    |

  12. Let F(k)(x)=1/k (sin^(k)x+cos^(k)x), where x in R and k ge 1, then fin...

    Text Solution

    |

  13. The expression (tanA)/(1-cotA)+(cotA)/(1-tanA) can be written as (1) s...

    Text Solution

    |

  14. If a Delta PQR " if" 3 sin P + 4 cos Q = 6 and 4 sin Q + 3 cos P =1 , ...

    Text Solution

    |

  15. If A = sin^2x + cos^4 x, then for all real x :

    Text Solution

    |

  16. Let cos(alpha+beta)""=4/5 and let sin (alpha+beta)""=5/(13) where 0lt=...

    Text Solution

    |

  17. If cosalpha+cosbeta+cosgamma=0=sinalpha+sinbeta+singamma, then which...

    Text Solution

    |

  18. A triangular park is enclosed on two sides by a fence and on the third...

    Text Solution

    |

  19. In Delta PQR , /R=pi/4, tan(P/3), tan(Q/3) are the roots of the equati...

    Text Solution

    |