Home
Class 12
MATHS
Consider the equation sectheta+ cottheta...

Consider the equation `sectheta+ cottheta = 31/12`
On the basis of above, answer the following
Number of values of theta where `theta in ((pi)/(2),(3pi)/(2))` is equal to

A

`4`

B

`6`

C

`8`

D

1

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

If theta in [(pi)/(2),3(pi)/(2)] then sin^(-1)(sin theta) equals

Consider the equation sec theta +cosec theta=a, theta in (0, 2pi) -{pi//2, pi, 3pi//2} If the equation has no real roots, then

The value of sin(pi+theta)sin(pi-theta)cosec^(2)theta is equal to

If (cos^(3) theta )/( (1- sin theta ))+( sin^(3) theta )/( (1+ cos theta ))=1+ cos theta , then number of possible values of theta is ( where theta in [0,2pi] )

If number of solution and sum of solution of the equation 3sin^(2)x-7sinx +2=0, x in [0,2pi] are respectively N and S and f_(n)(theta)=sin^(n)theta +cos^(n) theta . On the basis of above information , answer the following questions. If alpha is solution of equation 3sin^(2)x-7sinx+2=0, x in [0,2pi] , then the value of f_(4)(alpha) is

Number of solutions of the equation cot( theta ) + cot( theta +(pi)/(3))+ cos ( theta -(pi)/(3))+ cot( 3 theta ) =0 , where theta in ( 0,(pi)/(2))

If cos theta= -1/2 and pi < theta < (3pi)/2 then find the value of 4tan^2 theta- 3cosec^2 theta

If sin theta=(21)/(29) , prove that sectheta+tan theta=2(1)/(2) if theta lies between 0 and (pi)/(2) . What will be the value of the expression when theta lies (i) between (pi)/(2) and pi and (ii) between pi and (3pi)/(2) ?

If pi < theta < (3pi)/(2) and cos theta = -3/5 , then tan ((theta)/(4)) is equal to

The solution of the equation cos^2theta-2costheta=4sintheta-sin2theta where theta in [0,pi] is

ALLEN-TEST PAPERS-part-2 Mathematic
  1. Consider a hyperbola H : x^(2)-y^(2) =k and a parabola P:y=x^(2) then ...

    Text Solution

    |

  2. Let AB be a chord of the parabola x^(2) = 4y. A circle drawn with AB a...

    Text Solution

    |

  3. Let two paraboles have a common axis where focus of each being exterio...

    Text Solution

    |

  4. The coordinates of a point on the parabola y^2 =8x whose focal dis...

    Text Solution

    |

  5. The circle centered at origin is inscribed in the parabola y = x^(2) -...

    Text Solution

    |

  6. Find the general solution of sec4θ−sec2θ=2.

    Text Solution

    |

  7. Solve: tan2x−tan3x=0

    Text Solution

    |

  8. Consider the equation sectheta+ cottheta = 31/12 On the basis of abo...

    Text Solution

    |

  9. Consider the equation sectheta+ cottheta = 31/12 On the basis of abo...

    Text Solution

    |

  10. Given that hyperbola xy-2y + 3x =k is tangent to the ellipse 3x^(2)-12...

    Text Solution

    |

  11. Given that hyperbola xy-2y + 3x =k is tangent to the ellipse 3x^(2)-12...

    Text Solution

    |

  12. Show that 2sin^2 (π/6) +cosec^2(7π/6)cos^2(π/3)= 3/2 ​

    Text Solution

    |

  13. Consider two curves E, P as E : x^2/9+y^2/8=1 and P : y^2=4x on the ...

    Text Solution

    |

  14. cosA/(1−sinA) =

    Text Solution

    |

  15. Two lines are drawn at right angles one being a tangent to y^(2) = 12x...

    Text Solution

    |

  16. Let (alpha,beta) be the focus of x^(2) + 2xy +1 -y^(2) then 12beta + 4...

    Text Solution

    |

  17. Area of the triangle formed by the pair of tangents drawn form (1,1) t...

    Text Solution

    |

  18. Total number of solutions of sin^2x−sinx−1=0 in [−2π,2π] ...

    Text Solution

    |