Home
Class 12
MATHS
If 1 + sin x + sin^2 x + sin ^3 x ...

If ` 1 + sin x + sin^2 x + sin ^3 x + …….` to ` oo = 4 +2 sqrt(3) , 0 lt x lt pi` then x=

A

`pi/6`

B

`pi/4`

C

`(3pi)/(4)`

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE|44 Videos
  • THREE DIMENSIONAL GEOMETRY

    NEW JOYTHI PUBLICATION|Exercise Objective|36 Videos
  • VECTOR ALGEBRA

    NEW JOYTHI PUBLICATION|Exercise CONTINUOUS EVALUATION|2 Videos

Similar Questions

Explore conceptually related problems

Prove that sin x + sin 2x + sin 3x = sin 2x (1 + 2 cos x )

sin 3x + sin 2x - sin = 4sin x cos "" x/2 cos "" (3x)/(2)

If 0 lt x lt 2 pi and |cos x| le sin x , then

If 1+sinx+sin^2x+sin^3x+oo is equal to 4+2sqrt(3),0ltxltpi, then x is equal to

If 0 lt x ltpi and cos x + sin x = 1/2 , then tan x is

If 0 lt x lt pi then ( sin 8x + 7 sin 6x + 18 sin 4x +12 sin 2x ) /( sin 7 x + 6 sin 5x + 12 sin 3x ) =

Sketch the graph of y= sin (1/3 x ) for 0 le x lt 6 pi .

simplify : tan^(-1) ""((a cos x- b sin x )/(b cos x + a sin x ) ) (- pi )/(2) lt x lt pi/2 , a/b tan x gt -1

Prove that sin 3x + sin 2x - sin x = 4 sin x cos ""(x)/(2) cos "" ( 3x )/(2)

The number of solution of sin x+sin 2x+sin 3x =cos x +cos 2x+cos 3x, 0 le x le 2pi , is

NEW JOYTHI PUBLICATION-TRIGONOMETRIC FUNCTIONS-QUESTIONS FROM COMPETITIVE EXAMS
  1. the number of solution of the equation tanx + sec x = 2 cos x ...

    Text Solution

    |

  2. sin ^2 5^@ + sin ^2 10^@ + sin ^2 15 ^2 + …….. + sin^2 90^2 =

    Text Solution

    |

  3. If 1 + sin x + sin^2 x + sin ^3 x + ……. to oo = 4 +2 sqrt(3)...

    Text Solution

    |

  4. The perimeter of a triangles ABC 6 times the arithemetic mean of ...

    Text Solution

    |

  5. The base angle of triangle are 22 (1)/(2)^@ and 112 (1)/(2)^@...

    Text Solution

    |

  6. If 1 + cos x=k where x is acute , then sin x/2

    Text Solution

    |

  7. The equation a cos theta + b sin theta = C has a solution ...

    Text Solution

    |

  8. If sin ((pi)/(4) cot theta) = cos ((pi)/(4) tan theta ) , then ...

    Text Solution

    |

  9. IF A + B + C = pi then cos ^2 A + cos^2 B + cos^2 C=

    Text Solution

    |

  10. IF the sides of the triangle are p , q sqrt(p^2 + q^2 + pq) then...

    Text Solution

    |

  11. (cos 9^@ + sin 9^@ )/( cos 9^@ - sin 9^@ )=

    Text Solution

    |

  12. If Delta = a^2 - ( b-c)^2 where Delta is the area of triangl...

    Text Solution

    |

  13. If in a triangle ABC , a=5,b=4 ,A =(pi)/( 2) +B then C

    Text Solution

    |

  14. ABC is a right angled isosceles triangles with angle B = 90 ^...

    Text Solution

    |

  15. The shadow of a tower is found to be 60 meter shorter when ...

    Text Solution

    |

  16. ABCD is a reactangular field .A vertical lamp post of height 12...

    Text Solution

    |

  17. If 0 lt phi lt (pi)/(2) , x= sum(n=0)^(oo) cos^(2n) phi ,y sum (n...

    Text Solution

    |

  18. Suppose o lt t lt (pi)/(2) and sin t + cos t =1/5 then tan "" t...

    Text Solution

    |

  19. the value cos 480^@ . Sin 150^@ + sin 600^@ . Cos 390^@ =

    Text Solution

    |

  20. If the angles of a triangles are in the ratio 3 : 4: 5 then the ...

    Text Solution

    |