Home
Class 12
MATHS
The value of cos((2pi)/(15))cos((4pi)/(1...

The value of `cos((2pi)/(15))cos((4pi)/(15))cos((8pi)/(15))cos((14pi)/(15)),` is

A

1

B

`1//2`

C

`1//4`

D

`1//16`

Text Solution

Verified by Experts

The correct Answer is:
D
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    OBJECTIVE RD SHARMA|Exercise Chapter Test|60 Videos
  • TRIGONOMETRIC RATIOS AND IDENTITIES

    OBJECTIVE RD SHARMA|Exercise Section II - Assertion Reason Type|13 Videos
  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|60 Videos

Similar Questions

Explore conceptually related problems

The value of cos((pi)/(15))cos((2 pi)/(15))cos((4 pi)/(15))cos((8 pi)/(15))=

Show that 16cos((2 pi)/(15))cos((4 pi)/(15))cos((8 pi)/(15))cos((16 pi)/(15))=1

Knowledge Check

  • cos ""(2pi)/( 15) cos ""(4pi)/(15) cos ""(8pi)/(15) cos ""(16pi)/(15)=

    A
    `1/2`
    B
    `1/4`
    C
    `1/8`
    D
    `1/16`
  • Similar Questions

    Explore conceptually related problems

    The value of cos((pi)/(10))cos((2 pi)/(10))cos((4 pi)/(10))cos((8 pi)/(10))cos((16 pi)/(10))

    The value of cos((pi)/(4))*cos((pi)/(8))*cos((pi)/(16))cos((pi)/(2^(n))) equals

    The value of cos(pi)/(5)cos.2(pi)/(5)cos4(pi)/(5)cos8(pi)/(5)=

    cos""(2pi)/(15)cos""(4pi)/(15)cos""(8pi)/(15)cos""(16pi)/(15)=(1)/(16)

    The value of cos(2 pi)/(21)+cos(4 pi)/(21)+cos(6 pi)/(21)+....+cos(20 pi)/(21) is equal to

    The value of (1+cos ""(2pi)/(15))(1+cos""(8pi)/(15))(1+cos""(12pi)/(15))is

    Prove that cos(2 pi)/(15)cos(4 pi)/(15)cos(8 pi)/(15)cos(14 pi)/(15)=(1)/(16)