Home
Class 11
MATHS
If 1+sin x + sin^(2)x +….oo = 4 + 2sqrt(...

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

A

`(pi)/(6)`

B

`(pi)/(4)`

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 RATIOS

    AAKASH SERIES|Exercise PRATICE SHEET (EXERCISE) (LEVEL-II(ADVANCED) (SINGLE ANSWER TYPE QUESTIONS)|10 Videos

  • TRIGONOMETRIC RATIOS

    AAKASH SERIES|Exercise PRATICE SHEET (EXERCISE) (LEVEL-II(ADVANCED) (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|5 Videos

  • TRIGONOMETRIC RATIOS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE) (LEVEL - II (ADVANCED) (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|9 Videos

  • TRIGONOMETRIC EQUATIONS

    AAKASH SERIES|Exercise Practice Exercise|49 Videos

  • VECTOR (CROSS) PRODUCT OF TWO VECTORS

    AAKASH SERIES|Exercise Practice Exercise|34 Videos

Similar Questions

Explore conceptually related problems

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

If sec x cos 5x + 1 =0, 0 lt x lt 2pi , then x =

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

For 0 lt x le pi, sin h^(-1)(cot x) =

If 0 lt x lt pi and cos x + sin x=1/(2) , then tanx =

If sin x + cos x + tan x + cot x + sec x + cosec x = 7, 0 lt x lt pi//2 and sin = 2x=a-b sqrt(7) then (a, b in Z^(+))

Let f(x) = {:{( sin x +cos x, 0 lt x lt (pi)/(2) ),( a, x = pi//2) , ( tan ^(2) x + cosecx , pi//2lt xlt pi ):} then its odd extension is

If f(x) = 2sin^(3) x + lambda sin^(2) x, x - (pi)/(2) lt x lt (pi)/(2) has exactly one maximum and one minimum, then find set of values of lambda .

Solve the equation cot^(2) x - (sqrt(3) +1) cot x + sqrt(3) = 0, 0 lt x lt (pi)/(2)

AAKASH SERIES-TRIGONOMETRIC RATIOS-PRATICE SHEET (EXERCISE) (LEVEL-I(MAIN) (SINGLE ANSWER TYPE QUESTIONS)
  1. (1+sinA)(1+sinB)(1+sinC) = (1-sinA)(1-sinB)(1-sinC) = k rArr k=

    Text Solution

    |

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

    Text Solution

    |

  3. If 1+sin x + sin^(2)x +….oo = 4 + 2sqrt(3), 0 lt x lt pi, x ne pi//2 t...

    Text Solution

    |

  4. If asec theta + b tan theta = c then ( theta + bsec theta)^(2) =

    Text Solution

    |

  5. The value of cos""(pi)/(7)+cos""(2pi)/(7)cos""(3pi)/(7)+cos""(4pi)/(7...

    Text Solution

    |

  6. If piltalphalt(3pi)/(2) then sqrt((1-cosalpha)/(1+cosalpha))+sqrt((1+c...

    Text Solution

    |

  7. (1+tan alpha tan beta)^(2) + (tan alpha -tan beta)^(2) =

    Text Solution

    |

  8. cosec^(2)Acot^(2)A-sec^(2)Atan^(2)A-(cot^(2)A-tan^(2))(sec^(2)Acosec^(...

    Text Solution

    |

  9. ( cos^(3) A + sin^(3) A )/( cos A + sin A ) + (cos^(3) A - sin^(3)A)/(...

    Text Solution

    |

  10. If x = (2sintheta)/(1+costheta+sintheta), then (1-costheta+sintheta)/(...

    Text Solution

    |

  11. sin10^(@) + sin20^(@)+sin30^(@)+….+sin360^(@)=

    Text Solution

    |

  12. sin^(2)(51^(@)-x)+sin^(2)(39^(@)+x)=

    Text Solution

    |

  13. cos^(2)(125^(@)-x)-cos^(2)(55^(@)+x)=

    Text Solution

    |

  14. sin^(2)""(pi)/(18)+sin^(2)""(2pi)/(18)+sin^(2)""(4pi)/(18)+sin^(2)""(8...

    Text Solution

    |

  15. If alpha,beta are complementary angles and sin alpha = (3)/(5), then s...

    Text Solution

    |

  16. Which of the following is correct?

    Text Solution

    |

  17. A = tan 1,B = tan2, C = tan3, then the desending order of A,B,C is

    Text Solution

    |

  18. In a DeltaABC if cot A cot B cot C gt 0 then the triangle is

    Text Solution

    |

  19. If A,B,C are angles of a tringle such that A is obtuse then

    Text Solution

    |

  20. Minimum value of y = 256 sin^(2) x + 324 cosec^(2) x AA x in R is

    Text Solution

    |