Home
Class 12
MATHS
If x (n) = cos ((pi)/( 2 ^(n))) + i sin ...

If `x _(n) = cos ((pi)/( 2 ^(n))) + i sin (( pi)/( 2 ^(n))) , n in N,` then `x _(1) x _(2) x _(3)...` is equal to

A

1

B

`-1`

C

zero

D

None

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    BITSAT GUIDE|Exercise BITSET Archives |13 Videos

  • BINOMIAL THEOREM AND MATHEMATICAL INDUCTION

    BITSAT GUIDE|Exercise BITSAT Archives|16 Videos

  • CONIC SECTIONS

    BITSAT GUIDE|Exercise BITSAT ARCHIVES |27 Videos

Similar Questions

Explore conceptually related problems

If x_(n)=cos(pi/2^(n))+isin(pi/2^(n)), n in N then x_(1),x_(2),x_(3)………………..x_(infty) . Is equal to

If x_(n)=cos((pi)/(4^(n)))+i sin((pi)/(4^(n))), then x_(1)*x_(2),x_(3)...............oo

If x_(n)=cos(pi/3^(n))+isin((pi)/(3^(n))) , then x_(1),x_(2),x_(3),………………..x_(infty) is equal to

If x_n =cos ((pi)/(2^(n)))+isin((pi)/(2^(n))) Prove that x_1 x_2…..x_oo=-1

If x_(n)=cos(pi)/(2^(n))+i sin(pi)/(2^(n)), prove that x_(1)x_(2)x_(3)x_(oo)=-1

2 ^ (n-1) sin ((pi) / (n)) sin ((2 pi) / (n)) ..... sin ((n-1) / (n)) pi equals:

If 2 sin^(2) ((pi//2) cos^(2) x)=1-cos (pi sin 2x), x ne (2n + 1) pi//2, n in I , then cos 2x is equal to

sin m((pi)/(2)+x)+cos n((pi)/(2)-x)