Home
Class 12
MATHS
Let f (theta)=(1)/(1+(tan theta)^(2021))...

Let `f (theta)=(1)/(1+(tan theta)^(2021))`, then the value of `sum_(theta=1^(@))^(89^(@))f(theta)` is equal to

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If tan^(3)theta+cot^(3)theta=52 , then the value of tan^(2)theta+cot^(2)theta is equal to :

If tan^(3)theta+cot^(3)theta=52 , then the value of tan^(2)theta+cot^(2)theta is equal to :

Let f(theta)=1/(1+(cottheta)^2) , and S=sum_(theta=1^0)^(89^0)f(theta), then the value of sqrt(2S-8) is___________

If sec theta+tan theta=(1)/(2) The value of sec theta=

Let f(theta)=1/(1+(cottheta)^x)and S=sum_(theta=1^@)^(89^@) f(theta) , then the value of S is _________ .

if f(n,theta)=prod_(r=1)^(n) (1-tan^(2)(theta)/(2^(r))) then the value of lim_(thetato0) [lim_(ntoinfty) f(n,theta)] , (where [x] represent the greatest integer function) is

Let sin theta-cos theta=1 then the value of sin^(3) theta-cos^(3)theta is :

If sec theta+tan theta=(1)/(2) The value of tan theta =

What is the value of sin^2theta+1/(1+tan^2theta) ?

If sin theta=-(1)/(2) and tan theta=(1)/sqrt(3) then theta is equal to :-

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. The equation to the circle which touches the axis of y at the origin a...

    Text Solution

    |

  2. A. 2^x + 2^(f(x)) = 2

    Text Solution

    |

  3. Let f (theta)=(1)/(1+(tan theta)^(2021)), then the value of sum(theta=...

    Text Solution

    |

  4. about to only mathematics

    Text Solution

    |

  5. Find the product of the real roots of the equation, x^2+18x +30=2sqrt(...

    Text Solution

    |

  6. if siny=xsin(a+y) and (dy)/(dx)=(A)/(1+x^(2)-2xcosa) then the value of...

    Text Solution

    |

  7. The inequality [2-x]+2[x-1]geq0 is satisfied by (where[.] denotes grea...

    Text Solution

    |

  8. Let f(x) satisfy the requirements of Lagrang's mean value theorem in [...

    Text Solution

    |

  9. If the equation (x/(1+x^2))^2+a(x/(1+x^2))+3=0 has exactly two real ro...

    Text Solution

    |

  10. Circumcentre of triangle A B C, where A(rsinx,rcosx), B (rainy, rcosy...

    Text Solution

    |

  11. An equilateral triangle has each of its sides of length 6 cm. If (x1, ...

    Text Solution

    |

  12. Integrate : int((x+sqrt(1+x^2))^(2009))/(sqrt(1+x^2))dx

    Text Solution

    |

  13. If alpha, beta are the roots of the equation x^(2)+alphax + beta = 0 s...

    Text Solution

    |

  14. Evaluate int(dx)/(tanx+cotx+secx+cosecx).

    Text Solution

    |

  15. If alpha, beta gamma are the real roots of the equation x^(3)-3px^(2)+...

    Text Solution

    |

  16. Comprehension # 'A ray M is sent along the line (x-0)/2=(y-2)/2=(z-1)...

    Text Solution

    |

  17. Equation of a straight line passing through the origin and making with...

    Text Solution

    |

  18. If the equation of the normal to the curve y=f(x) at x=0 is 3x-y+3=0 t...

    Text Solution

    |

  19. If f(x)=x^4-2x^3+3x^2-a x+b is a polynomial such that when it is divid...

    Text Solution

    |

  20. Let the co-ordinates of the two points A&B be (1, 2) and (7, 5) respec...

    Text Solution

    |