Home
Class 12
MATHS
If 1+sintheta+sin^2theta+sin^3theta+..to...

If `1+sintheta+sin^2theta+sin^3theta+..to oo=4+2sqrt3 ` 0<`theta`<`pi`, `theta!=pi/2` then

A

`(pi)/(6)`

B

`(pi)/(3)`

C

`(pi)/(3) "or" (pi)/(6)`

D

`(pi)/(3) "or" (2pi)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|60 Videos
  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    OBJECTIVE RD SHARMA|Exercise Section II - Assertion Reason Type|4 Videos
  • THREE DIMENSIONAL COORDINATE SYSTEM

    OBJECTIVE RD SHARMA|Exercise Exercise|22 Videos
  • TRIGONOMETRIC RATIOS AND IDENTITIES

    OBJECTIVE RD SHARMA|Exercise Chapter Test|60 Videos

Similar Questions

Explore conceptually related problems

sin5theta+sin3theta+sintheta=0

sintheta+sin7theta=sin4theta

If 1+sin theta+sin^(2)theta+sin^(3)theta+...rarr oo=4+2sqrt(3)0

sintheta+sin2theta+sin4theta+sin5theta=0

Solve 4sintheta sin2thetasin4theta=sin3theta

27. If 1+sin theta+sin^(2)theta+.... upto oo=2sqrt(3)+4, then theta=...

2sin^(2)theta-3sintheta=-1 :find theta

Find the sum oif the series sintheta- (sin2theta)/(2!)+(sin3theta)/(3!)-… to oo

OBJECTIVE RD SHARMA-TRIGONOMETRIC EQUATIONS AND INEQUATIONS-Exercise
  1. If (1+tantheta)(1+tanphi)=2 then theta+phi=

    Text Solution

    |

  2. The general solution of "tan" 3x =1, is

    Text Solution

    |

  3. If 1+sintheta+sin^2theta+sin^3theta+..to oo=4+2sqrt3 0<theta<pi, t...

    Text Solution

    |

  4. If alpha and beta are the solutions of the equation atan theta+ b s...

    Text Solution

    |

  5. Solve sinx+siny=sin(x+y)a n d|x|+|y|=1

    Text Solution

    |

  6. The expression (1 + tan x + tan^2 x)(1-cot x + cot^2 x) has the positi...

    Text Solution

    |

  7. The equation K-sin theta+ cos 2theta= 2k-7 possesses a real solution i...

    Text Solution

    |

  8. The equation "sin"^(6) x + "cos"^(6) x = lambda, has a solution if

    Text Solution

    |

  9. If y + "cos" theta = "sin" theta has a real solution, then

    Text Solution

    |

  10. The solution set of the equation 4 "sin" theta "cos" theta- 2 "cos" th...

    Text Solution

    |

  11. The most general solution of "tan " theta = -1, "cos" theta = (1)/(sqr...

    Text Solution

    |

  12. If sin x +icos 2x,and cosx-isin2x are conjugate to each other then x=

    Text Solution

    |

  13. The smallest positive root of the equation tanx-x=0 lies in (0,pi/2) ...

    Text Solution

    |

  14. The number of solutions of the equation "sin" x = "cos" 3x "in" [0, pi...

    Text Solution

    |

  15. The most general values oro satisfying tan theta + tan((3pi)/4+theta)=...

    Text Solution

    |

  16. If "sec" theta "tan" theta =sqrt(2),"then" theta=

    Text Solution

    |

  17. The number of solutions of the equation "tan" x + "sec"x = 2"cos" x ly...

    Text Solution

    |

  18. If "cot" theta "cot" 7 theta + "cot" theta "cot" 4 theta + "cot" 4 the...

    Text Solution

    |

  19. The number of values of x in [0, 5 pi] satisfying the equation 3"cos" ...

    Text Solution

    |

  20. The number of values of x in [0, 2 pi] that satisfy "cot" x -"cosec"x ...

    Text Solution

    |