Home
Class 12
MATHS
Given that (1+tan1^@)(1+tan2^@)............

Given that `(1+tan1^@)(1+tan2^@)...........(1+tan45^@)= 2^n `find n .

Text Solution

Verified by Experts

The correct Answer is:
n=23
Promotional Banner

Topper's Solved these Questions

  • COMPOUND ANGLES

    ALLEN|Exercise EX-S2|9 Videos
  • COMPOUND ANGLES

    ALLEN|Exercise EX-JM|7 Videos
  • COMPOUND ANGLES

    ALLEN|Exercise EX-02|19 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    ALLEN|Exercise All Questions|1 Videos
  • DETERMINANTS

    ALLEN|Exercise All Questions|115 Videos

Similar Questions

Explore conceptually related problems

Prove that (1+ tan 1^@ ) (1+ tan 2^@ )...(1+ tan 45^@ )= 2^23

Prove that (1+ tan 1^@ ) (1+ tan 2^@ )...(1+ tan 45º )= 2^23

Prove that (1+tan1^0)(1+tan2^0)......(1+tan45^0)=2^(23)dot

If (1+t a n1^0). (1+t a n2^0) .(1+t a n3^0)......(1+tan45^0)=2^n , then ' n ' is equal to 16 b. 23 c. 3 0 d. none of these

If (1+tan1^(@)) *(1+tan2^(@))*(1+tan3^(@)) …….(1+tan45^(@)) = 2^(n) , then 'n' is equal to :

If the value of (1+tan 1^(@))(1+ tan 2^(@)) (1+tan 3^(@)) ……….(1+ tan 45) Is 2^(lambda) , then the sum of the digits of the number lambda is

tan^2 45/(1+tan^2 45)

(1-tan^2 45^@)/(1+tan^2 45^@) is equal to

Prove that tan^(- 1)(1/3)+tan^(- 1)(1/7)+tan^(- 1)(1/13)+..........+tan^-1 (1/(n^2+n+1))+......oo =pi/4

Prove that (1+tan1^(@))(1+tan44^(@))(1+tan2^(@))(1+tan43^(@))………(1+tan22^(@))(1+tan23^(@))=2^(22) .