If 4n alpha = pi, then the value of tana...

If `4n alpha = pi`, then the value of `tanalphatan2alphatan3alpha …..tan(2n-2)alphatan(2n-1)alpha` is:

A

1

B

0

C

`-1`

D

none

Verified by Experts

The correct Answer is:

D

TRIGONOMETRY RATIOS AND IDENTITIES
ML KHANNA|Exercise PROBLEM SET (1) TRUE AND FALSE|5 Videos
TRIGONOMETRY RATIOS AND IDENTITIES
ML KHANNA|Exercise PROBLEM SET (1) FILL IN THE BLANKS|2 Videos
TRIGONOMETRICAL EQUATIONS
ML KHANNA|Exercise SELF ASSESSMENT TEST |27 Videos

Similar Questions

Explore conceptually related problems

If 4nalpha = pi then the numerical value tan alpha* tan 2alpha *tan 3alpha ...... tan(2n -1)alpha = _____

" If alpha=(2 pi)/(7) ,then the value of tan alpha tan2 alpha+tan2 alpha tan4 alpha+tan4 alpha tan alpha is "

The value of tan alpha+2tan(2 alpha)+4tan(4 alpha)+...+2^(n-1)tan(2^(n-1)alpha)+2^(n)cot(2^(n)alpha) is

If alpha=(pi)/(14), then the value of (tan alpha tan2 alpha+tan2 alpha tan4 alpha+tan4 alpha tan alpha) is 1(b)1/2(c)2(d)1/3

If tan alpha= sqrt2-1 then the value of tan alpha-cot alpha = ?

If tan alpha = sqrt3+2 , then the value of tan alpha - cot alpha is