Home
Class 12
MATHS
If sin alpha +cos alpha =(sqrt(3)+1)/(2)...

If `sin alpha +cos alpha =(sqrt(3)+1)/(2), 0 lt alpha lt 2pi`, then possible values `"tan"(alpha)/(2)` can take is/are :

A

`2-sqrt(3)`

B

`(1)/(sqrt(3))`

C

1

D

`sqrt(3)`

Text Solution

Verified by Experts

The correct Answer is:
A, B
Promotional Banner

Topper's Solved these Questions

  • COMPOUND ANGLES

    VK JAISWAL ENGLISH|Exercise Exercise-3 : Comprehension Type Problems|12 Videos

  • COMPOUND ANGLES

    VK JAISWAL ENGLISH|Exercise Exercise-4 : Matching Type Problems|1 Videos

  • COMPOUND ANGLES

    VK JAISWAL ENGLISH|Exercise Exercise-5 : Subjective Type Problems|31 Videos

  • COMPLEX NUMBERS

    VK JAISWAL ENGLISH|Exercise EXERCISE-5 : SUBJECTIVE TYPE PROBLEMS|8 Videos

  • CONTINUITY, DIFFERENTIABILITY AND DIFFERENTIATION

    VK JAISWAL ENGLISH|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|22 Videos

Similar Questions

Explore conceptually related problems

If 0 lt alpha lt pi/6 , then the value of (alpha cosec alpha ) is

If sin alpha=-3/6, alpha in [0,2pi] then the possible values of cos (alpha/2) , is/are

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

Solve : tan ^(2) alpha + sec alpha - 1 = 0,0 le alpha lt 2pi.

If sec alpha=13/5, (0 lt alpha lt pi/2) , then the value of (2-3cotalpha)/(4-9sqrt(sec^(2)alpha-1)) is

If sin(alpha+beta)=1 and sin(alpha-beta)=1/2 , where 0lt=alpha, betalt= pi/2 , then find the values of tan(alpha+2beta) and tan(2alpha+beta) .

If 0 lt alpha lt (pi)/(3) , then prove that alpha (sec alpha) lt (2pi)/(3).

If 0 < alpha < pi/6 and sin alpha + cos alpha =sqrt(7 )/2, then tan alpha/2 is equal to

If sin (alpha + beta) = 4/5 , cos (alpha - beta) = (12)/(13) 0 lt alpha lt (pi)/(4), 0 lt beta lt (pi)/(4), find tan 2 alpha .

If 0 lt alpha lt beta lt (pi)/(2) then

VK JAISWAL ENGLISH-COMPOUND ANGLES-Exercise-2 : One or More than One Answer is/are Correct
  1. Which of the following is/are true ?

    Text Solution

    |

  2. Which of the following is/are true ?

    Text Solution

    |

  3. If sin alpha +cos alpha =(sqrt(3)+1)/(2), 0 lt alpha lt 2pi, then poss...

    Text Solution

    |

  4. If 3 sin beta= sin( 2alpha+beta), then

    Text Solution

    |

  5. If sin(x+20^0)=2sinxcos40^0,w h r ex in (0,pi/2), then which of the fo...

    Text Solution

    |

  6. If cosx + cosy + cosz = 0 and sinx + siny + sinz =0, then show that ...

    Text Solution

    |

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

    Text Solution

    |

  8. If x=sin(alpha-beta)*sin(gamma-delta), y=sin(beta-gamma)*sin(alpha-de...

    Text Solution

    |

  9. If X=x cos theta-y sin theta, Y=x sin theta+y cos theta and X^(2)+4XY...

    Text Solution

    |

  10. If 2a=2tan10^(@)+tan50^(@), 2b=tan20^(@)+tan50^(@) 2c=2tan10^(@)+tan...

    Text Solution

    |

  11. Which of the following real numbers when simplified are neither termi...

    Text Solution

    |

  12. If alpha=sin x cos^(3) x and beta=cos x sin^(3) x, then :

    Text Solution

    |

  13. If (pi)/(2) lt theta lt pi, then possible answers of sqrt(2+sqrt(2+2c...

    Text Solution

    |

  14. If cot^(3)alpha+cot^(2)alpha+cot alpha=1 then which of the following...

    Text Solution

    |

  15. The value of x in (0,pi/2) satisfying (sqrt(3)-1)/(sinx)+(sqrt(3)+1)/(...

    Text Solution

    |

  16. If alpha gt (1)/(sin^(6)x+cos^(6)x) AA x in R, then alpha can be

    Text Solution

    |

  17. If x in (0, (pi)/(2)) and sinx=(3)/(sqrt(10)), Let k=log(10)sinx+log...

    Text Solution

    |

  18. If A, B, C are angles of a triangle ABC and tanAtanC=3, tan B tanC=6 t...

    Text Solution

    |

  19. The value of (sin x-cos x)/(sin^(3)x) is equal to :

    Text Solution

    |

  20. If f(x)=sin^(2)x+sin^(2)(x+(2pi)/(3))+sin^(2)(x+(4pi)/(3)) then :

    Text Solution

    |