Home
Class 12
MATHS
The minimum value of the function f(x)=(...

The minimum value of the function `f(x)=(sinx)/(sqrt(1-cos^2x))+(cosx)/(sqrt(1-sin^2x))+(tanx)/(sqrt(sec^2x-1))+(cotx)/(sqrt(c o s e c^2x-1))`whenever it is defined is

A

4

B

-2

C

0

D

2

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 For Session 1|10 Videos

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise For Session 2|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

The minimum value of the function f(x)=(sin x)/(sqrt(1-cos^(2)x))+(cos x)/(sqrt(1-sin^(2)x))+(tan x)/(sqrt(sec^(2)x-1))+(cot x)/(sqrt(csc^(2)x-1))

The minimum value of the function f(x)=sinx/(sqrt(1-cos^2x))+cosx/sqrt(1-sin^2x)+tanx/sqrt(1-sec^2x-1)+cotx/sqrt(1-cosec^2x-1) whenever it is defined is

If the maximum and minimum values of (sin x)/(sqrt(1-cos^(2)))+(cos x)/(sqrt(1-sin^(2)x))+(tan x)/(sqrt(sec^(2)x-1))+(cot x)/(sqrt(cos ec^(2)-1)) when it is defined are M and m respectively then the values of M-m is

The domain of the function f(x)=sqrt((1)/((x|-1)cos^(-1)(2x+1)tan3x)) is

The domain of definition of the function f(x)=sqrt(3-2^(x)-2^(1-x))+sqrt(sin^(-1)x) is

The domain of definition of the function f(x)=sqrt(3-2^(x)-2^(1-x))+sqrt(sin^(-1)x) is

The domain of definition of the function f(x)=sqrt(3-2^(x)-2^(1-x))+sqrt(sin^(-1)x) is

The domain of the function f(x) = sqrt(2x-3) + sin x + sqrt(x+1) is

The function f (x) =1+ x ln (x+ sqrt(1+ x ^(2)))-sqrt(1- x^(2)) is:

ARIHANT MATHS-TRIGONOMETRIC FUNCTIONS AND IDENTITIES-Exercise (Questions Asked In Previous 13 Years Exam)
  1. The minimum value of the function f(x)=(sinx)/(sqrt(1-cos^2x))+(cosx)/...

    Text Solution

    |

  2. If alpha and beta are non-zero real number such that 2(cos beta-cos al...

    Text Solution

    |

  3. Let -1/6 < theta < -pi/12 Suppose alpha1 and beta1, are the root...

    Text Solution

    |

  4. The value of sum(k=1)^(13) (1)/(sin(pi/4 + ((k-1)pi)/(6))sin(pi/4 + (k...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    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 t1=(tan theta)^(tan theta), t2=(tan theta)6(...

    Text Solution

    |

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

    Text Solution

    |

  11. If 5(tan^2x - cos^2x)=2cos 2x + 9, then the value of cos4x is

    Text Solution

    |

  12. Let fk(x) = 1/k(sin^k x + cos^k x) where x in RR and k gt= 1. Then f4(...

    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 sin(alpha-beta)=5/13 where 0<= alpha,...

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

    Text Solution

    |

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

    Text Solution

    |