Home
Class 12
MATHS
If theta lies in the second quadrant. T...

If `theta` lies in the second quadrant. Then the value of `sqrt((1-sin theta)/(1+sin theta))+sqrt((1+sin theta)/(1-sin theta))` is equal to :

A

`2 sec theta`

B

`-2sec theta`

C

`sec theta`

D

`-sec theta`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|60 Videos
  • TRIGONOMETRIC RATIOS AND IDENTITIES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|13 Videos
  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|60 Videos

Similar Questions

Explore conceptually related problems

cos theta=sqrt(1-sin theta)

cos theta=sqrt(1-sin theta)

1+sin(theta)/sin(theta)

If -pi lt theta lt -(pi)/(2)," then " |sqrt((1-sin theta)/(1+sintheta))+sqrt((1+sin theta)/(1-sin theta))| is equal to :

cos theta sqrt(1-sin^(2)theta)=

Prove that (1+sin 2theta)/(1-sin 2theta) = ((1+tan theta)/(1-tan theta))^2

If theta lies in the second quadrant and tan theta=(-5)/(12) , find the value of (2cos theta)/(1-sin theta) .

Prove : (cos theta)/(1+sin theta) + (cos theta)/(1-sin theta)= 2 sec theta

(1)/(sin theta)+(1)/(cos theta)=

If sin theta = 12/13 and theta lies in the second quadrant, find the value of sec theta+tan theta .

OBJECTIVE RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS AND IDENTITIES-Exercise
  1. If sectheta=x+1/(4x), then s e ctheta+t a ntheta= (a) x ,1/x (b) 2x ...

    Text Solution

    |

  2. If piltthetalt 2pi, then sqrt((1+costheta)/(1-costheta)) is equal to

    Text Solution

    |

  3. If theta lies in the second quadrant. Then the value of sqrt((1-sin ...

    Text Solution

    |

  4. sin^2 theta =(x+y)^2/(4xy) where x,yinR gives theta if and only if

    Text Solution

    |

  5. sec theta=(a^(2)+b^(2))/(a^(2)-b^(2)), where a, binR, gives real balue...

    Text Solution

    |

  6. If 0^@ltthetalt180^@ then sqrt(2+sqrt(2+sqrt(2+...+sqrt(2(1+costheta))...

    Text Solution

    |

  7. sin65^(@)+sin43^(@)-sin29^(@)-sin7^(@) is equal to

    Text Solution

    |

  8. If sec alpha and cosec alpha are the roots of the equation x^(2)-ax+b=...

    Text Solution

    |

  9. about to only mathematics

    Text Solution

    |

  10. If ys invarphi=x s in(gamma+delta)=cos(alpha-beta)sin(gamma-delta), pr...

    Text Solution

    |

  11. about to only mathematics

    Text Solution

    |

  12. If sinx+sin^2x=1," then the value of "cos^12x+3cos^10x+3cos^8x+cos^6x-...

    Text Solution

    |

  13. If ABCD is a cyclic quadrilateral, then the value of cosA-cosB+cosC-co...

    Text Solution

    |

  14. If ABCD is a cyclic quadrilateral such that 12tanA-5=0 and 5cosB+3=0, ...

    Text Solution

    |

  15. If sin (picot theta)=cos (pi tantheta), then

    Text Solution

    |

  16. The value of sinx siny sin(x-y)+sinysinz sin(y-z) +sinz sinx sin(z...

    Text Solution

    |

  17. If ABCD is a convex quadrilateral such that 4 sec A+5=0, then find th...

    Text Solution

    |

  18. If (tanalpha+tanbeta)/(cot alpha+cot beta)+{cos(alpha-beta)+1}^(-1)=1,...

    Text Solution

    |

  19. Prove:cos(pi/15)cos((2pi)/15)cos((3pi)/15)cos((4pi)/15)cos((5pi)/15)co...

    Text Solution

    |

  20. The value of cos12^(@)cos24^(@)cos36^(@)cos48^(@)cos60^(@)cos72^(@)cos...

    Text Solution

    |