Home
Class 12
MATHS
(sinx+cosx)/(sinx-cos x)-(sec^(2)x+2)/(t...

`(sinx+cosx)/(sinx-cos x)-(sec^(2)x+2)/(tan^(2)x-1)=`, where `x in (0, (pi)/(2))`

A

`(1)/(tan x+1)`

B

`(2)/(1+tanx)`

C

`(2)/(1+cot x)`

D

`(2)/(1-tan x)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • COMPOUND ANGLES

    VK JAISWAL ENGLISH|Exercise Exercise-2 : One or More than One Answer is/are Correct|26 Videos

  • COMPOUND ANGLES

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

The derivative of tan^(-1) ((sinx -cosx)/(sinx +cosx)) , with respect to (x)/(2) , where x in(0,(pi)/(2)) is:

If log_(sinx)(cos x) = (1)/(2) , where x in (0, (pi)/(2)) , then the value of sin x is equal to-

If y=(log_(cosx)sinx)(log_(sinx)cosx)+"sin"""^(-1)(2x)/(1+x^(2)) , then (dy)/(dx) at x=(pi)/(2) is equal to

Consider f(x)=[[2(sinx-sin^3x)+|sinx-sin^3 x|)/(2(sinx-sin^3 x)-|sinx-sin^3x|]], x != pi/2 for x in (0,pi), f(pi/2) = 3 where [ ] denotes the greatest integer function then,

If Delta (x)=|{:(1,cos x,1-cos x),(1+sin x,cos x,1+sinx-cosx),(sinx,sinx,1):}| then int_(0)^(pi//2)Delta(x) dx is equal to

The value of int((tan^(-1)(sinx+1))cosx)/((3+2sinx-cos^(2)x))dx is (where c is the constant of integration)

y(dy)/(dx)sinx=cosx(sinx-(y^2)/2); where at x=pi/2,

Let f(x) = |(2cos^2x, sin2x, -sinx), (sin2x, 2 sin^2x, cosx), (sinx, -cosx,0)| , then the value of int_0^(pi//2){f(x) + f'(x)} dx is

The value of sin^(-1)("cos"(cos^(-1)(cosx)+sin^(-1)(sinx))), where x in (pi/2,pi) , is equal to pi/2 (b) -pi (c) pi (d) -pi/2

The value of sin^(-1)("cos"(cos^(-1)(cosx)+sin^(-1)(sinx))), where x in (pi/2,pi) , is equal to pi/2 (b) -pi (c) pi (d) -pi/2

VK JAISWAL ENGLISH-COMPOUND ANGLES-Exercise-5 : Subjective Type Problems
  1. (sinx+cosx)/(sinx-cos x)-(sec^(2)x+2)/(tan^(2)x-1)=, where x in (0, (p...

    Text Solution

    |

  2. Let P=(sin80^(@)sin65^(@) sin35^(@))/(sin20^(@)+sin50^(@)+sin110^(@))...

    Text Solution

    |

  3. The value of expression (1-cot23^(@))(1-cot22^(@)) is equal to :

    Text Solution

    |

  4. If tanA and tanB the roots of the quadratic equation, 4x^(2)-7x+1=0 th...

    Text Solution

    |

  5. A(1)A(2)A(3)………A(18) is a regular 18 sided polygon. B is an external p...

    Text Solution

    |

  6. If 10sin^(4)alpha+15cos^(4)alpha=6 and the value of 9"cosec"^(4)alpha...

    Text Solution

    |

  7. The value of (1+"tan"(3pi)/(8)"tan"(pi)/(8))+(1+"tan"(5pi)/(8)"tan"(3p...

    Text Solution

    |

  8. If alpha=pi/7 then find the value of (1/cosalpha+(2cosalpha)/(cos2alph...

    Text Solution

    |

  9. Given the for a,b,c,d in R, if a sec(200^@)- ctan(200^@)=d and b sec(...

    Text Solution

    |

  10. The expression 2"cos"(pi)/(17)*"cos"(9pi)/(17)+"cos"(7pi)/(17)+"cos"(9...

    Text Solution

    |

  11. If the expression (sin theta sin2theta+sin3theta sin60theta+sin4theta...

    Text Solution

    |

  12. Let a=sin10^(@), b =sin50^(@), c=sin70^(@)," then " 8abc((a+b)/(c ))((...

    Text Solution

    |

  13. If sin^(3)theta+sin^(3)(theta+(2pi)/(3))+sin^(3)(theta+(4pi)/(3))=a s...

    Text Solution

    |

  14. If sum(r=1)^(n)((tan 2^(r-1))/(cos2^(r )))=tanp^(n)-tan q, then find t...

    Text Solution

    |

  15. If x=sec theta-tan theta and y="cosec"theta+cot theta," then " y-x-xy...

    Text Solution

    |

  16. Prove that: cos18^0-sin18^0 = sqrt(2)sin27^0

    Text Solution

    |

  17. The value of 3(sin1-cos1)^(4)+6(sin1+cos1)^(2)+4(sin^(6)1+cos^(6)1) i...

    Text Solution

    |

  18. If x=alpha satisfy the equation 3^(sin2x+2cos^(2)x)+3^(1-sin2x+2sin^(...

    Text Solution

    |

  19. If y=(sin theta+"cosec" theta)^(2) +(cos theta+sec theta)^(2), then m...

    Text Solution

    |

  20. If tan20^(@)+tan40^(@)+tan80^(@)-tan60^(@)=lambda sin40^(@), then lamb...

    Text Solution

    |

  21. If K^(@) lies between 360^(@) and 540^(@) and K^(@) satisfies the equa...

    Text Solution

    |