Home
Class 12
MATHS
For a positive integer n , fn(theta)=(ta...

For a positive integer n , `f_n(theta)=(tantheta/2)(1+sectheta)(1+sec2theta)(1+sec4theta)....(1+sec2^ntheta.)`, then

A

`f_(2)((pi)/(16))=1`

B

`f_(3)((pi)/(32))=1`

C

`f_(4)((pi)/(64))=1`

D

`f_(5)((pi)/(128))=1`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    MTG-WBJEE|Exercise WB JEE Previous Years Questions (CATEGORY 1 : Single Option Correct Type (1 Mark))|15 Videos
  • TRIGONOMETRIC FUNCTIONS

    MTG-WBJEE|Exercise WB JEE Previous Years Questions (CATEGORY 2 : Single Option Correct Type (2 Mark))|3 Videos
  • TRIGONOMETRIC FUNCTIONS

    MTG-WBJEE|Exercise WB JEE WORKOUT (CATEGORY 2 Single Option Correct Type (1 Mark) )|15 Videos
  • THREE DIMENSIONAL GEOMETRY

    MTG-WBJEE|Exercise WE JEE PREVIOUS YEARS QUESTIONS (CATEGORY 1 : Single Option Correct Type)|10 Videos
  • VECTOR ALGEBRA

    MTG-WBJEE|Exercise WB JEE previous Years Questions (Single Option Correct Type) (1 mark)|9 Videos

Similar Questions

Explore conceptually related problems

For a positive integer n f_(n)(theta)=((tan theta)/(2))(1+sec theta)(1+sec2 theta)(1+sec4 theta)...(1+sec2^(n)theta) ,then

For a positive integer n , let f_n(theta)=(tantheta//2)(1+sectheta)(1+sec2theta)(1+sec4theta)...................(1+sec2^ntheta). Then (a)f_2(pi/(16))=1 (b) f_3(pi/(32))=1 (c)f_4(pi/(64))=1 (d) f_5(pi/(128))=1

(1+sec theta)/sec theta=

For positive integer n if f_(n)(theta) = tan ""(theta)/(2) (1 + sec theta) (1+ sec2 theta) (1 + sec4 theta)"…."( 1 + sec2^(n)theta) then find the value of f_(2) ((pi)/(16)) " and " f_(5) ((pi)/(128)) .

Prove that (tan8 theta)/(tan theta)=(1+sec2 theta)(1+sec4 theta)(1+sec8 theta)

Prove that (tan 8 theta)/(tan theta)=(1+ sec 2 theta)(1+ sec 4 theta)(1+ sec 8 theta)

f_(n)(Theta)=(tan((Theta)/(2)))(1+sec(Theta))(1+sec(2Theta))......(1+sec(2^(n)Theta)

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

Find the value of tantheta(1+sec2theta)(1+sec4theta)(1+sec8theta) .