Home
Class 11
MATHS
sum(n=1)^ootan(theta/(2^n))/(2^(n-1)cos(...

`sum_(n=1)^ootan(theta/(2^n))/(2^(n-1)cos(theta/(2^(n-1))))` is

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE ENGLISH|Exercise All Questions|491 Videos

Similar Questions

Explore conceptually related problems

If sum_(n=1)^(2013)tan(theta/(2^(n)))sec((theta)/(2^(n-1))) = tan((theta)/(2^(a)))-tan((theta)/(2^(b))) then (b+a) equals

If sum_(n-1)^(2013)"tan"(theta/(2^n))s e c(theta/(2^(n-1)))=tan(theta/(2^a))-tan(theta/(2^b)) then (b+a) equals (a)2014 (b) 2012 (c) 2013 (d) 2014

sum_(n=1)^(oo)(2 n^2+n+1)/((n!)) =

sum_(n=1)^(oo) (2n)/(n!)=

If f(theta)=sum_(n=1)^(6)cos ec(theta+((n-1)pi)/(4))cos ec(theta+(npi)/(4)) , where 0ltthetalt(pi)/(2) , then find the minimum value of f(theta) .

If (sin^4theta)/a+(cos^4theta)/b=1/(a+b) , prove that (sin^8theta)/(a^3)+(cos^4theta)/(b^3)=1/((a+b)^3) (sin^(4n)theta)/(a^(2n-1))+(cos^(4n)theta)/(b^(2n-1))=1/((a+b)^(2n-1)),n in N

Statement-1: For any value of thetane0, lim_(ntooo)cos""(theta)/(2)cos""(theta)/(2^(2))cos""(theta)/(2^(3))...cos""(theta)/(2^(n))=(sintheta)/(theta) Statement-2: cosAcos2Acos2^(2)A...cos2^(n-1)A=(sin2^(n)A)/(2^(n)sinA) and lim_(Ato0)(sinA)/(A)=1.

Find the sum sum_(n=1)^(oo)(6^(n))/((3^(n)-2^(n))(3^(n+1)-2^(n+1)))

Find the sum n terms of seires tan theta+1/2tan(theta/2 )+1/(2^2)tan(theta/(2^2))+1/(2^3)tan(theta/(2^3))+....

Statement I Pi_(r=1)^(n) (1+sec 2^(r)theta)=tan 2^(n)theta cot theta Statement II Pi_(r=1)^(n) cos (2^(r-1)theta)=(sin(2^(n)theta))/(2^(n)sin theta)

CENGAGE ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. The set of all x in the interval [0,pi] for which 2sin^2x-3sinx+1geq0 ...

    Text Solution

    |

  2. If in a triangle (1-(r1)/(r2))(1-(r1)/(r3))=2 then the triangle is rig...

    Text Solution

    |

  3. sum(n=1)^ootan(theta/(2^n))/(2^(n-1)cos(theta/(2^(n-1)))) is

    Text Solution

    |

  4. A parallelogram containing a 60^0 angle has perimeter p and its longer...

    Text Solution

    |

  5. If r/(r1)=(r2)/(r3), then (a) A=90^0 (b) B=90^0 (c) C=90^0 (d) none ...

    Text Solution

    |

  6. If sin(sinx+cosx)=cos(cosx-sinx), and largest possible value of sinx ...

    Text Solution

    |

  7. If 0lt=xlt=pi/3 then range of f(x)=sec(pi/6-x)+sec(pi/6+x) is

    Text Solution

    |

  8. For each natural number nlt=2, prove that sinx1cosx2+sinx2c0sx+3++sinx...

    Text Solution

    |

  9. The values of x1 between 0 and 2pi , satisfying the equation cos3x+c...

    Text Solution

    |

  10. If y=(sin^4x-cos^4x+sin^2xcos^2x)/(sin^4x+cos^4x+sin^2xcos^2x),x in (0...

    Text Solution

    |

  11. In an acute angled triangle A B C ,r+r1=r2+r3a n d/B >pi/3, then (a) b...

    Text Solution

    |

  12. If un=sin^("n")theta+cos^ntheta, then prove that (u5-u7)/(u3-u5)=(u3)/...

    Text Solution

    |

  13. If x ,y in R and x^2+y^2+x y=1, then find the minimum value of x^3y+x...

    Text Solution

    |

  14. The general solution of the equation sin^(100)x-cos^(100)x=1 is (a)2np...

    Text Solution

    |

  15. If in triangle A B C ,sumsin(A/2)=6/5a n dsumI I1=9 (where I1,I2 a n d...

    Text Solution

    |

  16. Prove that in A B C ,tanA+tanB+tanCgeq3sqrt(3,) where A , B , C are...

    Text Solution

    |

  17. In triangle A B C ,/A=60^0,/B=40^0,a n d/C=80^0dot If P is the center ...

    Text Solution

    |

  18. If cos3x+sin(2x-(7pi)/6)=-2 , then show that x is of the form π / 3(6...

    Text Solution

    |

  19. Prove that sin2A + sin2B + sin2C = 4sinA · sinB · sin C

    Text Solution

    |

  20. If H is the othrocenter of an acute angled triangle ABC whose circumci...

    Text Solution

    |