Home
Class 12
MATHS
Let theta ,phi in [0,2pi] be such that 2...

Let `theta ,phi in [0,2pi]` be such that `2 cos theta (1-sin phi)=sin^2 theta ((tan)theta/2+(cot)theta/2) cos phi -1, tan(2pi-theta) > 0 and -1 < sin theta < -sqrt3/2.` Then `phi` cannot satisfy

A

`0 lt phi lt (pi)/(2)`

B

`(pi)/(2) lt phi lt (4pi)/(3)`

C

`(4pi)/(3) lt phi lt (3pi)/(2)`

D

`(3pi)/(2) lt phi lt 2pi`

Text Solution

Verified by Experts

The correct Answer is:
A, C, D
Promotional Banner

Topper's Solved these Questions

  • EQUATIONS

    RESONANCE|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |7 Videos

  • GEOMETRY

    RESONANCE|Exercise Exercise-1 (Part-I: Previous Asked Question For Pre RMO)|50 Videos

Similar Questions

Explore conceptually related problems

Let theta,phi in[0,2 pi] be such that 2cos theta(1-sin phi)=sin^(2)theta((tan)(theta)/(2)+(cot)(theta)/(2))cos phi-1,tan(2 pi-theta)>0 and -1

Let theta, varphi varepsilon [0,2 pi] be such that 2cos theta (1-sin varphi) = sin ^ (2) theta ((tan theta) / (2) + (cot theta) / (2)) cos varphi -1, tan (2 pi-theta)> 0 and -1> sin theta <(sqrt (3)) / (2)

2sin(theta-phi)=sin(theta+phi)=1

If 0 lt theta , phi lt pi and 8 cos theta cos phi cos (theta + phi)+1=0 find theta and phi

If cos theta+cos phi=a and sin theta - sin phi=b , then: 2cos(theta + phi) =

cos2 theta cos2 phi+sin^(2)(theta-phi)-sin^(2)(theta+phi)=cos(2 theta+2 phi)

If sin theta=5sin(theta+phi) then tan(theta+phi)=

If 3tan theta tan phi=1 then (cos(theta-phi))/(cos(theta+phi)) is

RESONANCE-FUNDAMENTAL OF MATHEMATICS-Exercise
  1. Let (x0, y0) be the solution of the following equations In (2x)^(In2)=...

    Text Solution

    |

  2. Let P={theta:sintheta-costheta=sqrt2cos theta}and Q={theta:sintheta+c...

    Text Solution

    |

  3. Let theta ,phi in [0,2pi] be such that 2 cos theta (1-sin phi)=sin^2 t...

    Text Solution

    |

  4. The value of 6+log(3/2)(1/(3sqrt2)sqrt(4-1/(3sqrt2)sqrt(4-1/(3sqrt2)sq...

    Text Solution

    |

  5. If 3^(x)=4^(x-1), then x=

    Text Solution

    |

  6. For x in (0,pi) the equation sinx+2sin2x-sin3x=3 has

    Text Solution

    |

  7. The number of distinct solutions of the equation 5/4cos^(2)2x + cos^4 ...

    Text Solution

    |

  8. Let -1/6 &lt; theta &lt; -pi/12 Suppose alpha1 and beta1, are the root...

    Text Solution

    |

  9. Let S={xepsilon(-pi,pi):x!=0,+pi/2}The sum of all distinct solutions ...

    Text Solution

    |

  10. Q. The value of is equal sum(k=1)^13(1/(sin(pi/4+(k-1)pi/6)sin(pi/4+k ...

    Text Solution

    |

  11. Let alphaa n dbeta be nonzero real numbers such that 2(cosbeta-cosalph...

    Text Solution

    |

  12. The value of ((log(2)9)^(2))^((1)/(log(2)(log(2)9)))xx(sqrt(7))^((1)/...

    Text Solution

    |

  13. If A, B and C are three sets such that AnnB""=""AnnC and AuuB""=""AuuC...

    Text Solution

    |

  14. If cosalpha+cosbeta+cosgamma=0=sinalpha+sinbeta+singamma, then which...

    Text Solution

    |

  15. Let cos(alpha+beta)=(4)/(5) and let sin(alpha-beta)=(5)/(13), where 0 ...

    Text Solution

    |

  16. If A = sin^2x + cos^4 x, then for all real x :

    Text Solution

    |

  17. Let X""=""{1,""2,""3,""4,""5} . The number of different ordered pairs ...

    Text Solution

    |

  18. In a DeltaPQR. if 3 sinP +4 cosQ=6 and 4sinQ+3cosP=1, then the angle R...

    Text Solution

    |

  19. If A and B two sets containing 2 elements and 4 elements, respectively...

    Text Solution

    |

  20. The expression (tanA)/(1-cotA)+(cotA)/(1-tanA) can be written as :

    Text Solution

    |