Home
Class 11
MATHS
Let f(n)(theta)= tan""(theta)/2(1+secthe...

Let `f_(n)(theta)= tan""(theta)/2(1+sectheta)(1+sec2theta)(1+sec4theta).....(1+sec2^(n) theta)` ,then `f_(2)(pi/16)+f_(3)((pi)/32)+f_(4)(pi/64)+f_5(pi/128) =`

A

0

B

2

C

4

D

8

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MULTIPLE & SUBMULTIPLE

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE - II) (LEVEL - II) (More than One correct answer Type Questions)|3 Videos
  • MULTIPLE & SUBMULTIPLE

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE - II) (LEVEL - II) (Linked Comprehension Type Questions)|5 Videos
  • MULTIPLE & SUBMULTIPLE

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE - I) (LEVEL - II) (More than One correct answer Type Questions)|7 Videos
  • MEAN VALUE THEOREMS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I (LEVEL-II (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS ) )|2 Videos
  • MULTIPLE & SUBMULTIPLE ANGLES

    AAKASH SERIES|Exercise PRACTICE EXERCISE|68 Videos

Similar Questions

Explore conceptually related problems

sqrt(sec^2theta-1)/(sectheta)

( tan theta)/( sec theta -1)-(tan theta )/( sec theta + 1)=

(1+sec theta - tan theta)/(1+sec theta + tan theta)=

( sec theta + tan theta -1)/( tan theta - sec theta +1)

cot^(2) theta ((sec theta -1)/(1+ sin theta ))+ sec^(2) theta ((sin theta -1)/( 1+ sec theta )) =

Show that (tan theta+sec theta -1)/(tan theta - sec theta +1)=(1 + sin theta)/(cos theta)

sec^(4) theta (1-sin^4 theta ) - tan^(2) theta =

If 6 sec^(2)theta - 5 sec theta + 1 = 0 then theta =

Show that tan ^(2) theta +tan ^(4) theta =sec ^(4) theta -sec ^(2) theta

AAKASH SERIES-MULTIPLE & SUBMULTIPLE -PRACTICE SHEET (EXERCISE - II) (LEVEL - I) (Straight Objective Type Questions)
  1. A quadratic equation whose roots are tan22""1^@/2 and cot22""(1^@)/2 i...

    Text Solution

    |

  2. 32sin^(6) 15^@ -48 sin^(4) 15 ^(@) + 18 sin^2 15^@ =

    Text Solution

    |

  3. If cos alpha+ cos beta= a, sin alpha+ sin beta= b and alpha- beta= 2 t...

    Text Solution

    |

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

    Text Solution

    |

  5. sin "" (2pi)/(7) + sin "" (4pi)/(7) + sin "" (8pi)/(7) =

    Text Solution

    |

  6. If sin""(pi)/18 sin""(5pi)/18 sin""(7pi)/18 =

    Text Solution

    |

  7. If cos theta (1) = 2 cos theta (2), then tan (( theta (1) + theta (2)...

    Text Solution

    |

  8. sin^4""(pi)/16+sin^4""(3pi)/16+sin^4""(5pi)/16+sin^4""(7pi)/16=

    Text Solution

    |

  9. The roots of the equation 4x^2-2sqrt5x+1=0 are

    Text Solution

    |

  10. If theta(1) and theta2 are two values lying in [0,2pi] for which tan t...

    Text Solution

    |

  11. cot 15^@ + cot 75^@ + cot 135^@ =

    Text Solution

    |

  12. cot7(1^@)/2-cot37(1^@)/2-cot52(1^@)/2+cot82(1^@)/2 =

    Text Solution

    |

  13. If sin x + "cosec"x + tan y + cot y = 4 where x and y in (0,(pi)/2) ta...

    Text Solution

    |

  14. The value of cot(7pi)/16 + 2cot(3pi)/8 + cot(15pi)/16 is:

    Text Solution

    |

  15. cos ^(3) x sin 2x= sum (x=0) ^(n) a (r) sin (rx) AA x in R, then

    Text Solution

    |

  16. Let f(n)(theta)= tan""(theta)/2(1+sectheta)(1+sec2theta)(1+sec4theta)....

    Text Solution

    |

  17. cos{(2pi)/(2^(64)-1)}cos{(2^2pi)/(2^(64)-1)}......cos{(2^(64)pi)/(2^(6...

    Text Solution

    |

  18. If theta=pi/(2^n+1) then cos theta cos 2 theta cos 2^(2) theta...... ...

    Text Solution

    |

  19. If sinx + cos x = sqrt7/2 where x in 1^(st) quadrant , then tan""(x)/2...

    Text Solution

    |

  20. cosx=(2cosy-1)/(2-cosy) , where x , y in (0,pi) then tan""x/2 cot""(y)...

    Text Solution

    |