Home
Class 11
MATHS
If cosx/2dotcosx/(2^2)dotcosx/(2^3)...oo...

If `cosx/2dotcosx/(2^2)dotcosx/(2^3)...oo=(sinx)/x ,` then find the value of `1/(2^2)sec^2x/2+1/(2^4)sec^2x/(2^2)+1/(2^6)sec^2x/(2^3)+...oo`

Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

  • LINEAR INEQUALITIES

    CENGAGE PUBLICATION|Exercise All Questions|68 Videos

Similar Questions

Explore conceptually related problems

Find the value of 2+1/(2+1/(2+1/(2+oo)))

If int(sinx^8-cosx^8)/(1-2sinx^2cosx^2)dx= asin2x +c , then find the value of a.

If" " tan x=b/a, "find the value of " a^(2) "cosec2x + b^(2) sec 2x.

If x = 1/(2-sqrt3) then find the value of (x^(3) -2x^2 - 7x +4)

If x = 1/(2-sqrt3) then find the value of (x^(3) -2x^(2) -7x+2)

int (x^(2)+sin^(2)x)/(1+x^(2))sec^(2)x dx

x = 1 + (1)/(3+(1)/(2+(1)/(3+1/(2...oo)))) then the value of x

Find the minimum value of (sec^(-1)x)^2+("c o s e c"^(-1)x)^2

Find the sum of the series 1/(3^2+1)+1/(4^2+2)+1/(5^2+3)+1/(6^2+4)+oo

Find the range of f(x)=(2sin^2x+2sinx+3)/(sin^2x+sinx+1)

CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. Let f(x)a n dg(x) be two function having finite nonzero third-order de...

    Text Solution

    |

  2. Differentiate log sinx w.r.t. sqrt(cosx).

    Text Solution

    |

  3. If cosx/2dotcosx/(2^2)dotcosx/(2^3)...oo=(sinx)/x , then find the valu...

    Text Solution

    |

  4. Differentiate tan ^(-1)(sqrt(1+x^2 )-1)/x w,r,t. tan ^(-1)x

    Text Solution

    |

  5. If 0ltx<1, then="" prove="" that="" (1-2x)="" (1-x="x^2)+(2x-4x^3)/(1-...

    Text Solution

    |

  6. Find the derivative of f(tan x) w.r.t. g (sec x) at x=(pi)/(4), where ...

    Text Solution

    |

  7. If f(x)=cos^(-1)(1/sqrt(13)(2cosx-3sinx)) +sin^(-1)(1/sqrt(13)(2cosx+...

    Text Solution

    |

  8. Find the derivative of tan^-1((2x)/(1-x^2)) w.r.t. sin^-1((2x)/(1+x^2)...

    Text Solution

    |

  9. If |a1sinx+a2sin2x++ansinn x|lt=|sinx| for x in R , then prove that |...

    Text Solution

    |

  10. Find the derivative of sec^(-1)(1/(2x^2-1)) w.r.t sqrt(1-x^2) at x=1/...

    Text Solution

    |

  11. If y=(1/2)^(n-1)cos(ncos^(-1)x), then prove that y satisfies the diffe...

    Text Solution

    |

  12. If y=f(x^3),z=g(x^5),f^(prime)(x)=tanx ,a n dg^(prime)(x)=secx , then ...

    Text Solution

    |

  13. If x in (0,pi/2), then show that cos^(-1)(7/2(1+cos2x)+sqrt((sin^2x-48...

    Text Solution

    |

  14. "If "f(x)=|{:(x+a^(2),ab,ac),(ab, x+b^(2),bc),(ac,bc, x+c^(2)):}|," th...

    Text Solution

    |

  15. If y=cos^(-1)((2x)/(1+x^2)),t h e n(dy)/(dx)i s (a)(-2)/(1+x^2) fo...

    Text Solution

    |

  16. If f(x),g(x) and h(x) are three polynomials of degree 2, then prove th...

    Text Solution

    |

  17. If f(x-y), f(x) f(y) and f(x+y) are in A.P. for all x , y ,and f(0)!=0...

    Text Solution

    |

  18. If x^3+y^3+3a x y=0 , f i n d dy / dx

    Text Solution

    |

  19. If 1 is the twice repeated root of the equation a x^3+b x^2+b x+d=0,t ...

    Text Solution

    |

  20. If log(x^2+y^2)=2tan^(-1)(y/x), show that (dy)/(dx)=(x+y)/(x-y)

    Text Solution

    |