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The value (2costheta-1)(2cos2theta-1)(2c...

The value `(2costheta-1)(2cos2theta-1)(2cos4theta-1)(2cos8theta-1)=`

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Explore conceptually related problems

Prove that, (2costheta+1)(2costheta-1) (2cos2theta-1)(2cos4theta-1)=2cos8theta+1

Prove that: (2cos2^ntheta+1)/(2costheta+1)=(2costheta-1)(2cos2theta-1)(2cos2^2theta-1) ...(2cos2^(n-1)theta-1)

Knowledge Check

  • (2 cos theta - 1 ) ( 2 cos 2 theta -1)(2 cos 4 theta -1)(2 cos 8 theta -1)=

    A
    `0`
    B
    1
    C
    `(2 cos 8 theta +1)/(2 cos 8+1)`
    D
    `(2 cos 160 theta + 1)/(2 cos theta + 1)`

  • If theta=(pi)/(8) , then what is the value of (2cos theta+1)^(10)(2cos2theta-1)^(10)(2cos theta-1)^(10)(2cos4 theta-1)^(10) ?

    A
    A) 0
    B
    B) 1
    C
    C) 2
    D
    D) 4

    • Similar Questions

    Explore conceptually related problems

    Prove that: (2cos2^ntheta+1)/(2costheta+1)=(2costheta-1)(2cos2theta-1)(2cos2^2theta-1) ...(2cos2^(n-1)theta-1)

    Show that (2costheta-1) (2cos2theta-1) (2cos2^2theta-1)……(2cos2^(n-1)theta-1) = (2cos2^ntheta+1)/(2costheta+1)

    Prove that: (2cos2 theta+1)/(2cos theta+1)=(2cos theta-1)(2cos2 theta-1)(2cos2^(2)theta-1)...(2cos2^(n-1)theta-1)

    Prove that: (2cos2^(n)theta+1)/(2cos theta+1)=(2cos theta-1)(2cos2 theta-1)(2cos2^(2)theta-1)...(2cos2^(n-1)theta-1)

    If theta=(pi)/(8), then what is value of (2cos theta+1)^(10)(2cos2 theta-1)^(10)(2cos theta-1)^(10)(2cos4 theta-1)^(10)?(i)0(ii)1(iii)2(iv)4

    Prove that : (2 cos 2^n theta + 1)/(2 cos theta +1) = (2 cos theta -1) (2 cos 2theta -1) (2 cos 2^2 theta -1) … (2 cos 2^(n-1) theta -1)

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