Home
Class 11
MATHS
If 1+sin theta + sin^(2) theta + ...oo= ...

If `1+sin theta + sin^(2) theta + ...oo= 4+2sqrt(3), 0 lt theta lt pi` and `theta != pi/2` , then `theta`

A

`pi/6, pi/3`

B

`pi/3, (5pi)/(6)`

C

`(pi)/(6), (2pi)/(3)`

D

`(pi)/(3), (2pi)/(3)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMERTIC RATIOS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|77 Videos
  • TRIGONOMERTIC RATIOS

    AAKASH SERIES|Exercise EXERCISE - I|35 Videos
  • TRIGNOMETRIC EQUATIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (PRACTICE SHEET (ADVANCED) INTEGER TYPE QUESTIONS)|2 Videos
  • TRIGONOMETRIC EQUATIONS

    AAKASH SERIES|Exercise Practice Exercise|49 Videos

Similar Questions

Explore conceptually related problems

If r sin theta = sqrt(3), r + 4 sin theta = 2(sqrt(3)+1), 0 le theta le 2pi , then theta =

If cos theta cos 2 theta cos 3theta = 1//4 for 0 lt theta lt pi then theta =

If sin 7theta + sin 4theta + sin theta = 0, 0 le theta le pi//2 , then theta =

If 3 tan (theta - 15^(@))=tan (theta + 15^(@)), 0 lt theta lt pi then theta =

Solve sin theta + sin 5 theta = sin 3 theta , 0 lt theta lt pi .

If cos theta - sin theta=1/5 , where 0 lt theta lt pi/4 , then:

If 180^(@) lt theta lt 270^(@) , sin theta =-3//5 , then cos theta //2=

If tan(pi cos theta) =cot(pi sin theta), 0 lt theta lt(3pi)/4 , then sin(theta+pi/4) =

AAKASH SERIES-TRIGONOMERTIC RATIOS-EXERCISE- II
  1. The ratio between (1+cos alpha)/(sin^(2) alpha) and a+((1+cos alpha)/(...

    Text Solution

    |

  2. If theta = (pi)/(21), then (sin23 theta-sin 7 theta)/( sin2 theta + si...

    Text Solution

    |

  3. If 1+sin theta + sin^(2) theta + ...oo= 4+2sqrt(3), 0 lt theta lt pi a...

    Text Solution

    |

  4. If ( sin x + cos x)/(cos^(3)x)=a tan^(3)x+b tan^(2)x+c tan x+d then ...

    Text Solution

    |

  5. If sin^(4) theta + cos^(4) theta = l + 3 +k sin^(2) theta cos^(2) thet...

    Text Solution

    |

  6. If 4 sin theta + 3 cos theta =5 then tan theta =

    Text Solution

    |

  7. If sqrt(sin x)+ cos x = 0 then sin x =

    Text Solution

    |

  8. sin^(2) x=1-sinx then cos^(4)x+cos^(2)x=

    Text Solution

    |

  9. If cos x + cos^(2) x =1 , " then " sin^(12) x + 3 sin^(10)x + 3sin^(8...

    Text Solution

    |

  10. If sec A = 5x + (1)/(20x) then sec A + tan A =

    Text Solution

    |

  11. If tan theta = p - (1)/(4p) then sec theta - tan theta =

    Text Solution

    |

  12. sqrt(1-sin^(2)100^(@))*sec 100^(@)=

    Text Solution

    |

  13. If sqrt((1+sin A)/(1-sin A))=sec A +tan A, then the quadrants in which...

    Text Solution

    |

  14. If pi/2 lt theta lt pi then sqrt((1-sin theta)/(1+sin theta))+sqrt((1+...

    Text Solution

    |

  15. If pi lt alpha lt 2pi then (1)/(Sin alpha - sqrt(cot^(2)alpha -cos^(2)...

    Text Solution

    |

  16. ((sqrt(3) + 2 cosA)/( 1-2 sin A ))^(-3) + ((1+ 2 sin A )/( sqrt(3)-2 c...

    Text Solution

    |

  17. If 2 sin x + 5 cos y + 7 sin z = 14 then 7 tan. (x)/(2) + 4 cos y - 6 ...

    Text Solution

    |

  18. If (sin alpha + "cosec" alpha )^(2) + ( cos alpha + sec alpha )^(2)=k+...

    Text Solution

    |

  19. If Sin theta + Cos theta = sqrt(3) Cos theta then 2 Cos theta - Sin ...

    Text Solution

    |

  20. If a cos theta - b sin theta = c then a sin theta + b cos theta=

    Text Solution

    |