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

Let `varphi,phi in [0,2pi]` be such that `2costheta(1-sinphi)=sin^2theta(tantheta/2+cottheta//2)"cos"phi-1,"tan"(2pi-theta)>0` `and −1<"sinθ"< −sqrt3/2 ` then φ lies between

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 ENGLISH|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |5 Videos

  • INDEFINITE INTEGRATION

    RESONANCE ENGLISH|Exercise SELF PRACTIC PROBLEMS|25 Videos

Similar Questions

Explore conceptually related problems

Prove that (1+costheta-sin^(2)theta)/(sintheta(1+costheta))=cottheta

Prove: (1+costheta-sin^2theta)/(sintheta(1+costheta))= cottheta

Prove that (1+sin2theta)/(1-sin2theta)=((1+tantheta)/(1-tan theta))^(2)

cos2thetacos2phi+sin^2(theta-phi)-sin^2(theta+phi)=

Prove : (1+sin2theta-cos2theta)/(1+sin2theta+cos2theta)=tantheta

Prove: (1+tan^2theta)/(1+cot^2theta)=((1-tantheta)/(1-cottheta))^2=tan^2theta

If (1+tantheta)(1+tanphi)=2 , then theta + phi =

If t a n^2theta=2tan^2phi+1 , prove that cos2theta+sin^2phi=0.

Prove the following identity: (2sinthetacostheta-costheta)/(1-sintheta+sin^2theta-cos^2theta)=cottheta

Prove that: {1+cottheta-s e c(pi/2+theta)}{1+cottheta+s e c(pi/2+theta)}=2cottheta

RESONANCE ENGLISH-FUNDAMENTAL OF MATHEMATICS-Exercise
  1. Let (x(0), y(0)) be the solution of the following equations: (2x)^("...

    Text Solution

    |

  2. about to only mathematics

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. If 3^(x) = 4^(x-1) , then x = a. (2 log(3) 2)/(2log(3) 2-1) b. 2...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  8. Let -pi/6 < theta < -pi/12. Suppose alpha1 and beta1, are the roots of...

    Text Solution

    |

  9. Let S={x in (-pi, pi) : x ne 0, pm pi/2}. The sum of all distinct solu...

    Text Solution

    |

  10. The value of overset(13)underset(k=1)(sum) (1)/(sin((pi)/(4) + ((k-1)p...

    Text Solution

    |

  11. If cosx-sinalphacotbetasinx=cosa , then the value of tan(x/2) is -tan(...

    Text Solution

    |

  12. The value of ((log(2)9)^(2))^(1/(log(2)(log(2)9)))xx(sqrt7)^(1/(log(4...

    Text Solution

    |

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

    Text Solution

    |

  14. Let A and B denote the statements A:cos alpha+ cos beta+cos gamma=0 ...

    Text Solution

    |

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

    Text Solution

    |

  16. If A=sin^(2)x+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 Delta PQR , if 3 sin P + 4 cos Q = 6 and 4 sin Q + 3 cos P =1, th...

    Text Solution

    |

  19. Let A and B be two sets containing 2 elements and 4 elements, respecti...

    Text Solution

    |

  20. The expression (tan A)/(1-cotA)+(cot A)/(1-tan A) can be written as

    Text Solution

    |