Home
Class 11
MATHS
If tan(x/2)=cosec x-sin x, then find the...

If `tan(x/2)=cosec x-sin x`, then find the value of `tan^(2) (x/2)`.

A

`2-sqrt5`

B

`2+sqrt5`

C

`-2-sqrt5`

D

`-2+sqrt5`.

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRY

    MODERN PUBLICATION|Exercise EXERCISE|730 Videos

  • STRAIGHT LINES

    MODERN PUBLICATION|Exercise EXERCISE|304 Videos

Similar Questions

Explore conceptually related problems

If tan(x/2)=cosec x - sin x then the value of tan^2(x/2) is

find the derivative of tan(2x)

If tan^-1((x-1)/(x-2)) + tan((x+1)/(x+2)) = pi/4 , then find the value of 'x'.

Let x in (0, pi/2) and log_(24 sin x) (24 cos x)=3/2 , then find the value of cosec^(2)x .

If tan x = -(4)/(3), (pi)/(2) lt x lt pi , then find the value of sin(x/2), cos(x/2) and tan(x/2) .

If a^2+2a+cosec^2(pi/2(a+x))=0 , then, find the values of a and x.

If tan^-1 ((x-1)/(x-2))+tan^-1((x+1)/(x+2))=pi/4, then find the value of x

If x in ( - pi/2, pi/2) , then the value of tan^(-1) ((tan x)/4) + tan^(-1) ((3 sin 2x)/(5 + 3 cos 2x)) is

If cos x-sin alpha cot beta sin x=cos alpha , then the value of tan (x//2) is

If (x -1) (x^(2) + 1) gt 0 , then find the value of sin((1)/(2) tan^(-1).(2x)/(1 - x^(2)) - tan^(-1) x)

MODERN PUBLICATION-TRIGNOMETRY-EXERCISE
  1. The sides BC, CA and AB of a triangle ABC are of lengths a, b and c re...

    Text Solution

    |

  2. The angle of elevation of the top of a hill from a point is alpha. Aft...

    Text Solution

    |

  3. If tan(x/2)=cosec x-sin x, then find the value of tan^(2) (x/2).

    Text Solution

    |

  4. Consider the system of equations in x, y, z as x sin 3 theta-y + z=0, ...

    Text Solution

    |

  5. Prove that cos^(4) .(pi)/(8) + cos^(4).(3pi)/(8)+cos^(4).(5pi)/(8)+c...

    Text Solution

    |

  6. Prove that : "tan"(pi/(4)+1/(2)"cos"^(-1)a/(b))+"tan"(pi/(4)-1/(2)"cos...

    Text Solution

    |

  7. The equation sqrt3 sinx+cos x=4 has:

    Text Solution

    |

  8. The value of cos 15^@ cos 7 1^@/2 sin 7 1^@/2 is:

    Text Solution

    |

  9. The most general values of 'x' for which sin x + cos x =underset( a i...

    Text Solution

    |

  10. If a= 2 sqrt2, b= 6, A = 45^@, then:

    Text Solution

    |

  11. In triangle ABC, if sin Asin B=(ab)/c^2, then the triangle is :

    Text Solution

    |

  12. The value of : (1+cos frac (pi)(6)) (1+cos frac (pi)(3))(1+cos frac (2...

    Text Solution

    |

  13. P=1/2 sin^2 theta+1/3 cos^2 theta, then :

    Text Solution

    |

  14. The smallest value of 5 cos theta+ 12 is :

    Text Solution

    |

  15. Smallest form of 2/(sqrt(2+sqrt(2+sqrt(2+2 cos4x)))) is :

    Text Solution

    |

  16. If 5 cos 2 theta +2 cos^2 (theta/2)+1=0, when (0 ltthetalt pi), then t...

    Text Solution

    |

  17. If aa n db are positive quantities such that a > b , the minimum value...

    Text Solution

    |

  18. If A+B=45^@ then then (cot A- 1) (cot B- 1) is equal to :

    Text Solution

    |

  19. The solution of the equation : [sin x + cos x]^(1+sin2x)=2, -pi lexle ...

    Text Solution

    |

  20. If sin A- sqrt6 cos A= sqrt7 cosA, then: cosA+ sqrt6 sinA is equal to...

    Text Solution

    |