Home
Class 12
MATHS
If 1+sin x+sin^(2)x+…………… upto oo=4+2sqr...

If `1+sin x+sin^(2)x+……………` upto `oo=4+2sqrt(3),0ltxltpi` and `x!=(pi)/2`, then x=

A

1)`pi//6`

B

2)`pi//4`

C

3)`pi//3`

D

4)`3pi//4`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • K-CET-MATHEMATICS-2015

    SUNSTAR PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|60 Videos
  • P.U .BOARD LATEST MODEL QUESTION PAPER - 2

    SUNSTAR PUBLICATION|Exercise PART-E|4 Videos

Similar Questions

Explore conceptually related problems

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

If 1+sin x+sin ^(2) x+sin ^(3) x+ldots .+infty is equal to 4+2 sqrt(3), 0 lt x lt pi, then x=

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

If sin ^(-1) x+cot ^(-1) (1)/(2)=(pi)/(2), then x=

If sin ^(-1) (3)/(x)+sin ^(-1) (4)/(x)=(pi)/(2) then x=

If cos ^(-1) x+sin ^(-1) (x)/(2)=(pi)/(6) then x=

sin ^(2) 6x - sin ^(2) 4x = sin 2x sin 10x

If x+y=(4pi)/(3) and sin x = 2 sin y , then

Number of solutions of the equation cos^(4) 2x+2 sin^(2) 2x =17 (cos x + sin x)^(8), 0 lt x lt 2 pi is

Find the number of solution of the equations sin^3 x cos x + sin^(2) x* cos^(2) x+sinx * cos^(3) x=1 , when x in[0,2pi]

SUNSTAR PUBLICATION-K-CET-MATHEMATICS-2016-MULTIPLE CHOICE QUESTIONS
  1. The real part of (1-costheta + I sin theta)^(-1) is

    Text Solution

    |

  2. int(0)^(pi//2)(sin^(1000)xdx)/(sin^(1000)x+cos^(1000)x) is equal to

    Text Solution

    |

  3. If 1+sin x+sin^(2)x+…………… upto oo=4+2sqrt(3),0ltxltpi and x!=(pi)/2, t...

    Text Solution

    |

  4. underset(xrarr0)lim(xe^(x)-sinx)/(x) is equal to

    Text Solution

    |

  5. If tan^(-1)(x^(2)+y^(2))=alpha then (dy)/(dx) is equal to

    Text Solution

    |

  6. The simplified form of i^(n)+i^(n+1)+i^(n+2)+i^(n+3) is

    Text Solution

    |

  7. The two curves x^(3)-3xy^(2)+2=0 and 3x^(2)y-y^(3)-2=0:

    Text Solution

    |

  8. The equation of the normal to the curve y(1+x^(2))=2-x where the tang...

    Text Solution

    |

  9. The maximum value of (1/x)^(x) is

    Text Solution

    |

  10. The solution for the differential equation (dy)/(y)+(dx)/(x)=0 is

    Text Solution

    |

  11. The order and degree of the differential equation [1 + ((dy)/(dx))^(2)...

    Text Solution

    |

  12. If veca and vec b are unit vectors, then what is the angle between vec...

    Text Solution

    |

  13. The sum of 1^(st) n terms of the series (1^(2))/(1) + (1^(2) + 2^(2...

    Text Solution

    |

  14. The 11^(th) term in the expansion of (x+(1)/(sqrt(x)))^(14) is

    Text Solution

    |

  15. Suppose veca + vecb + vecc = 0, |veca| = 3, |vecb| = 5, |vecc| = 7, th...

    Text Solution

    |

  16. If veca, vecb, vecc are three non-zero vector such that each one of th...

    Text Solution

    |

  17. If the straight lines 2x+3y-3=0 and x+ky+7=0 are perpendicular, then t...

    Text Solution

    |

  18. The rate of change of area of a circle with respect to its radius at r...

    Text Solution

    |

  19. Find the value of tan ""pi/8.

    Text Solution

    |

  20. Area lying between the curves y^(2)=2x and y=x is

    Text Solution

    |