Home
Class 11
MATHS
If 4nalpha = pi then the numerical value...

If `4nalpha = pi` then the numerical value of `tan alpha tan 2alpha tan 3 alpha ......tan (2n-1) alpha ` is equal to

A

`-1`

B

0

C

1

D

2

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MULTIPLE & SUBMULTIPLE

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - I) (More than One correct answer Type Questions)|8 Videos

  • MULTIPLE & SUBMULTIPLE

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - I) (Linked Comprehension Type Questions)|11 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

If 4 n alpha = pi , then the numerical value of tan alpha tan 2 alpha tan 3 alpha….tan (2n - 1) alpha is equal to

tan alpha + 2 tan 2alpha + 4 tan 4 alpha + 8 cot 8 alpha =

sin 2 alpha - cos 2 alpha tan alpha =

tan alpha+ 2 tan 2 alpha+ 4 tan4 alpha+8 cot 8 alpha=

If alpha = (2pi )/(7) , then tan alpha tan 2 alpha + tan 2 alpha tan 4 alpha + tan 4 alpha tan alpha =

tan2alpha-tanalpha(1+sec2alpha)=

If (1+ tan alpha)(1+ tan 4alpha)=2, alpha in (0, pi//16) , then alpha is equal to:

(1+tan alpha tan beta)^(2) + (tan alpha -tan beta)^(2) =

If 3 sec alpha- 5 tan alpha= k and 6 sec alpha+k tan alpha=5 then k^(2)=

If alpha in (-(3pi)/2,-pi) , then the value of tan^(-1)(cot alpha)-cot^(-1)(tan alpha)+sin^(-1)(sin alpha)+cos^(-1)(cos alpha) is equal to