Home
Class 12
MATHS
The expression (1 + tan x + tan^2 x)(1-c...

The expression `(1 + tan x + tan^2 x)(1-cot x + cot^2 x)` has the positive values for x, given by

A

`0 le x le (pi)/(2)`

B

`0 le x le pi`

C

`"for all" x in R-{0, pi//2}`

D

`x ge 0`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|60 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    OBJECTIVE RD SHARMA|Exercise Section II - Assertion Reason Type|4 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    OBJECTIVE RD SHARMA|Exercise Exercise|22 Videos

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    OBJECTIVE RD SHARMA|Exercise Chapter Test|60 Videos

Similar Questions

Explore conceptually related problems

cot x-2 cot 2x = tan x

sin 2x (tan x + cot x) = ?

(cot x - tan x)/(cot 2x) equals

tan^(-1)(cot x)+cot^(-1)(tan x)

The given expression f(x)=(1)/(tan x+cot x+sec x+cos ecx) equal to

If tan x+tan y=25 and cot x+cot y=30 then the value of tan(x+y) is

If [ x cos ( cot^(-1) x ) + sin ( cot^(-1) x) ]^(2) = (51)/(50) then the positive value of x is

OBJECTIVE RD SHARMA-TRIGONOMETRIC EQUATIONS AND INEQUATIONS-Exercise
  1. If alpha and beta are the solutions of the equation atan theta+ b s...

    Text Solution

    |

  2. Solve sinx+siny=sin(x+y)a n d|x|+|y|=1

    Text Solution

    |

  3. The expression (1 + tan x + tan^2 x)(1-cot x + cot^2 x) has the positi...

    Text Solution

    |

  4. The equation K-sin theta+ cos 2theta= 2k-7 possesses a real solution i...

    Text Solution

    |

  5. The equation "sin"^(6) x + "cos"^(6) x = lambda, has a solution if

    Text Solution

    |

  6. If y + "cos" theta = "sin" theta has a real solution, then

    Text Solution

    |

  7. The solution set of the equation 4 "sin" theta "cos" theta- 2 "cos" th...

    Text Solution

    |

  8. The most general solution of "tan " theta = -1, "cos" theta = (1)/(sqr...

    Text Solution

    |

  9. If sin x +icos 2x,and cosx-isin2x are conjugate to each other then x=

    Text Solution

    |

  10. The smallest positive root of the equation tanx-x=0 lies in (0,pi/2) ...

    Text Solution

    |

  11. The number of solutions of the equation "sin" x = "cos" 3x "in" [0, pi...

    Text Solution

    |

  12. The most general values oro satisfying tan theta + tan((3pi)/4+theta)=...

    Text Solution

    |

  13. If "sec" theta "tan" theta =sqrt(2),"then" theta=

    Text Solution

    |

  14. The number of solutions of the equation "tan" x + "sec"x = 2"cos" x ly...

    Text Solution

    |

  15. If "cot" theta "cot" 7 theta + "cot" theta "cot" 4 theta + "cot" 4 the...

    Text Solution

    |

  16. The number of values of x in [0, 5 pi] satisfying the equation 3"cos" ...

    Text Solution

    |

  17. The number of values of x in [0, 2 pi] that satisfy "cot" x -"cosec"x ...

    Text Solution

    |

  18. "cot" theta = "sin" 2 theta, theta ne n pi, n in Z, "if" theta equals

    Text Solution

    |

  19. The solution of the equation "cos"^(2) x-2 "cos" x = 4 "sin" x - "si...

    Text Solution

    |

  20. If 1/6sintheta,costheta,tantheta are in GdotPdot, then theta is equal ...

    Text Solution

    |