Home
Class 12
MATHS
If a = cos (2012 pi), b = sec (2013 pi) ...

If `a = cos (2012 pi), b = sec (2013 pi) and c = tan (2014 pi)` then
a. ` a lt b lt c`
b. `b lt c lt a`
c. `c lt b lt a`
d. `a=b lt c`

A

` a lt b lt c`

B

`b lt c lt a`

C

`c lt b lt a`

D

`a=b lt c`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|21 Videos
  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|11 Videos
  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise For Session 11|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 and cos x + sin x = 1/2 , then tan x is

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

If sin^(-1)x=y," then "-pi/2 lt y lt pi/2 .

If 0lt a lt b lt (pi)/(2) and f(a,b) =(tan b- tana)/(b-a) then,

If A denotes the area bounded by f(x)=|("sin"x + "cos"x)/(x)| , X-axis, x=pi and x=3 pi ,then a. 1 lt A lt 2 b. 0 lt A lt 2 c. 2 lt A lt 3 d. None of these

If sin A=(12)/(13) and sinB=4/5 , where pi/2 lt A ltpi and 0 lt B lt pi/2 find the following : sin(A+B)

0 lt a lt 2 pi , sin^(-1)(sin a ) lt x^(2)-2x for all x in I then a in

True or False statements: For x in (0, pi/2) , sin x lt x lt tan x .

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

ARIHANT MATHS-TRIGONOMETRIC FUNCTIONS AND IDENTITIES-Exercise (Single Option Correct Type Questions)
  1. Let fn(a)=(sinalpha+sin3alpha+sin5alpha+...+sin(2n-1)alpha)/(cosalpha+...

    Text Solution

    |

  2. The minimum value of |sinx+cosx+(cosx+sinx)/(cos^(4)x-sin^(4)x)| is

    Text Solution

    |

  3. If a = cos (2012 pi), b = sec (2013 pi) and c = tan (2014 pi) then a. ...

    Text Solution

    |

  4. In a Delta ABC, the minimum value of sec^(2). (A)/(2)+sec^(2). (B)/...

    Text Solution

    |

  5. The number of ordered pairs (x, y) of real number satisfying 4x^2 - 4...

    Text Solution

    |

  6. In a DeltaABC,3 sin A+4 cos B=6 and 3 cos A+4 sinB=1, then angleC can ...

    Text Solution

    |

  7. An equilateral triangle has side length 8. The area of the region cont...

    Text Solution

    |

  8. If a cos^3 alpha +3acosalpha*sin alpha = m and a sin^3alpha +3a cos^3a...

    Text Solution

    |

  9. If AD is the altitude on BC and AD produced meets the circumcircle of ...

    Text Solution

    |

  10. One side of a rectangular piece of paper is 6 cm, the adjacent sides b...

    Text Solution

    |

  11. Prove that the average of the numbers n sin n^@, n = 2,4,6...180 is c...

    Text Solution

    |

  12. A circle is inscribed inside a regular pentagon and another circle is ...

    Text Solution

    |

  13. The value of sum(r=1)^(18) cos^(2)(5r)^(@), where x^(@) denotes the x ...

    Text Solution

    |

  14. Minimum value of cos theta is equal

    Text Solution

    |

  15. In a triangle ABC, cos 3A + cos 3B + cos 3C = 1, then find any one ang...

    Text Solution

    |

  16. (sqrt(1+sin 2A)+sqrt(1-sin 2A) )/(sqrt(1 + sin 2A)-sqrt(1-sin2A)) If |...

    Text Solution

    |

  17. For any real theta, the maximum value of cos^(2)(costheta)+sin^(2)(sin...

    Text Solution

    |

  18. Find the ragne of the expression 27^(cos 2x) 81^(sin 2x)

    Text Solution

    |

  19. ABCD is a trapezium such that AB and CD are parallel and BC bot CD. If...

    Text Solution

    |

  20. If 4nalpha =pi then cot alpha cot 2 alpha cot 3alpha ...cot (2n-1)alph...

    Text Solution

    |