Home
Class 12
MATHS
If alpha in[-pi, pi] such that sqrt((1-s...

If `alpha in[-pi, pi]` such that `sqrt((1-sin alpha)/(1+sin alpha))=sec alpha-tan alpha` Then

A

`alpha inleft[0, (pi)/(2))`

B

`left[0, (pi)/(2)) cup((pi)/(2), pi]`

C

`alpha in[-pi, 0]`

D

`(-(pi)/(2), (pi)/(2))`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|167 Videos

  • Pair Of Lines

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|129 Videos

Similar Questions

Explore conceptually related problems

Show that sqrt((1+cos alpha)/(1-cos alpha))=cosec alpha + cot alpha

If sin 3 alpha =4 sin alpha sin (x+alpha ) sin(x-alpha ) , then

The real value of alpha for which the expression (1-i sin alpha)/(1+2 i sin alpha) is purely real is

If sin theta= sin alpha , then

If alpha in [-2pi, 2pi] and cos.(alpha)/(2)+sin.(alpha)/(2)=sqrt(2)(cos 36^(@)-sin18^(@)) , then a value of alpha

The number of all possible 5-tuples alpha, alpha_(2), alpha_(3), alpha_(4), alpha_(5) such that alpha_(1) + alpha_(2) sinx + alpha_(3) cosx + alpha_(4) sin2x + alpha_(5) cos2x = 0 holds for all x is :

If alpha is a complex number such that alpha^(2)+alpha+1=0 then alpha^(31) is

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

HIMALAYA PUBLICATION-MEASUREMENT OF ANGLES, TRIGONOMETRIC RATIOS AND RELATION BETWEEN SIDES AND ANGLES OF A TRIANGLE-QUESTION BANK
  1. cot theta=sin 2 theta,(theta ne n pi), if theta

    Text Solution

    |

  2. If (pi)/(2) lt theta lt (3 pi)/(2) then sqrt((1-sin theta)/(1+sin thet...

    Text Solution

    |

  3. If alpha in[-pi, pi] such that sqrt((1-sin alpha)/(1+sin alpha))=sec a...

    Text Solution

    |

  4. If -(pi)/(4)lt A lt (pi)/(4), then (sqrt(1+sin 2 A)+sqrt(1-sin 2 A))/(...

    Text Solution

    |

  5. If tan theta = -4/3, then sin theta is :

    Text Solution

    |

  6. The greatest value of sin x cos x is

    Text Solution

    |

  7. The value of sin 20^(circ) sin 40^(circ) sin 60^(circ) sin 80^(circ) i...

    Text Solution

    |

  8. The value of cos (pi)/(5) . cos (2 pi)/(5). cos (4 pi)/(5) . cos (8 pi...

    Text Solution

    |

  9. If sin theta+cosec theta=2, then sin ^(2) theta+cosec^(2) theta=

    Text Solution

    |

  10. If f(x)=cos ^(2) x+sec ^(2) x, then

    Text Solution

    |

  11. If tan theta=(1)/(2) and tan varphi=(1)/(3) then the value of theta+va...

    Text Solution

    |

  12. Which of the following is not correct?

    Text Solution

    |

  13. The value of tan 1^(circ) . tan 2^(circ) . tan 3^(circ) …..tan 89^(cir...

    Text Solution

    |

  14. The value of (1-tan ^(2) 15^(circ))/(1+tan ^(2) 15^(circ)) is

    Text Solution

    |

  15. If tan thata = 3 and theta lies in third quadrant, then the value of s...

    Text Solution

    |

  16. The value of tan 75^(circ)-cot 75^(circ) is equal to

    Text Solution

    |

  17. Sin (45^(@)+theta)-cos(45^(@)-theta) is equal to :

    Text Solution

    |

  18. cos 12^(circ)+cos 84^(circ)+cos 156^(circ)+cos 132^(circ)=

    Text Solution

    |

  19. If tan A=(1)/(2), tan B=(1)/(3) then tan (2 A+B) is equal to

    Text Solution

    |

  20. The value of sin (pi)/(10) sin (13 pi)/(10) is

    Text Solution

    |