Home
Class 12
MATHS
The value of the expression sum(theta =0...

The value of the expression `sum_(theta =0)^8 1/(1 + tan^3 (10theta)^@)` equals

A

5

B

`21/4`

C

`14/3`

D

`9/2`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|21 Videos
  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|11 Videos
  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise For Session 11|10 Videos
  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos
  • VECTOR ALGEBRA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|9 Videos

Similar Questions

Explore conceptually related problems

The value of the expression sum_(theta=0)^(8)(1)/(1+tan^(3)(10 theta)^(@)) equals

The value of the expression (cos^(6)theta+sin^(6)theta-1)(tan^(2)theta+cot^(2)theta+2) is :

The value of the expression (cos^6 theta + sin^6 theta - 1)(tan^2 theta + cot^2 theta + 2) is:

then the value of the expression E=(sqrt(1+tan^(2)theta))/(tan theta)-(sqrt(1+cot^(2)theta))/(cot theta) is equal to

The expression,(1+sec2 theta)(1+sec4 theta)(1+sec8 theta) is equal to -

If cos theta = (3)/(5) , then the value of (sin theta - tan theta + 1)/( 2 tan^(2) theta) is

For theta in(0,(pi)/(2)), the value of definite integral int_(0)^( theta)ln(1+tan theta tan x)dx is equal to

What is the value of [1/((1 - tan theta ))] - [1/((1 - tan theta ))] ?

ARIHANT MATHS-TRIGONOMETRIC FUNCTIONS AND IDENTITIES-Exercise (Single Option Correct Type Questions)
  1. Given a^2+2a+c o s e c^2(pi/2(a+x))=0 then, which of the following hol...

    Text Solution

    |

  2. The minimum value of the function f(x)=(3 sin x - 4 cos x - 10)(3 si...

    Text Solution

    |

  3. The value of the expression sum(theta =0)^8 1/(1 + tan^3 (10theta)^@) ...

    Text Solution

    |

  4. the value of sqrt(1-sin^2 11 0^(@))*sec11 0^(@)

    Text Solution

    |

  5. If tan alpha ,tan beta are th roots of the eqution x^2+px+q=0 (p !=...

    Text Solution

    |

  6. sin(pi/2^2009)cos(pi/2^2009)cos(pi/2^2008).....cos(pi/2^2) is

    Text Solution

    |

  7. If tanB= (nsinA cosA)/(1-ncos^2A)then tan(A +B) equals

    Text Solution

    |

  8. If P = (tan(3^(n+1)theta - tantheta)

    Text Solution

    |

  9. The value of (cos^4 1^@+cos^4 2^@+....+cos^4 179^@)-(sin^4 1^@+sin^4 2...

    Text Solution

    |

  10. Suppose that 'a' is a non-zero real number for which sin x+sin y=a and...

    Text Solution

    |

  11. Let P(x)=sqrt(( cosx +cos2x+cos3x)^2+ (sin x + sin 2x+sin3x)^2) then P...

    Text Solution

    |

  12. If the maximum value of the expression 1/(5sec^2theta-tan^2theta+4cose...

    Text Solution

    |

  13. Let fn(a)=(sinalpha+sin3alpha+sin5alpha+...+sin(2n-1)alpha)/(cosalpha+...

    Text Solution

    |

  14. The minimum value of |sinx+cosx+(cosx+sinx)/(cos^(4)x-sin^(4)x)| is

    Text Solution

    |

  15. If a = cos (2012 pi), b = sec (2013 pi) and c = tan (2014 pi) then

    Text Solution

    |

  16. In a Delta ABC, the minimum value of sec^(2). (A)/(2)+sec^(2). (B)/...

    Text Solution

    |

  17. The number of ordered pairs (x, y) of real number satisfying 4x^2 - 4...

    Text Solution

    |

  18. In a DeltaABC,3 sin A+4 cos B=6 and 3 cos A+4 sinB=1, then angleC can ...

    Text Solution

    |

  19. An equilateral triangle has side length 8. The area of the region cont...

    Text Solution

    |

  20. If a cos^3 alpha +3acosalpha*sin alpha = m and a sin^3alpha +3a cos^3a...

    Text Solution

    |