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1+cos2theta+cos4theta+cos6theta=...

`1+cos2theta+cos4theta+cos6theta=`

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4cos6 theta cos4 theta cos2 theta=

If 13 theta =pi , " prove that " cos theta cos 2theta cos3 theta cos4theta cos5 theta cos6 theta =1/2^(6)

Knowledge Check

  • If 33theta = pi , then cos theta cos2theta cos4theta cos8theta cos16theta is :

    A
    `1/16`
    B
    `1/32`
    C
    `1/64`
    D
    `-1/32.`

  • If cos theta cos 2 theta cos 3theta = 1//4 for 0 lt theta lt pi then theta =

    A
    `(pi)/(7), (5pi)/(7), pi`
    B
    `(pi)/(2), (pi)/(4), (3pi)/(4), (pi)/(6), (5pi)/(6)`
    C
    `(pi)/(8), (3pi)/(8), (5pi)/(8), (7pi)/(8), (pi)/(3), (2pi)/(3)`
    D
    `(2n pi)/(3) : n in Z` or `n pi + (pi)/(4) : n in Z`

  • 1+ cos 2 theta + cos 4 theta + cos 6 theta =

    A
    `4 sin theta * sin 2 theta * sin 3theta `
    B
    `4 cos theta * cos 2 theta * cos 3 theta `
    C
    `4 tan theta * tan 2 theta * tan 3 theta `
    D
    `4 cot theta * cot 2 theta * cot 3 theta `

    • Similar Questions

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    Prove that, If " "15 theta = pi, "show that," cos theta cos2 theta cos3theta cos 4theta cos5 theta cos6theta cos7theta =1/2^(7)

    If 13theta=pi ,show that costhetacos2theta cos3theta cos4theta cos5theta cos6theta=2^-6

    cos 3theta+cos 5theta+cos 7theta+cos 9theta=4 cos theta cos 2theta cos 6theta .

    If m and n are positive integers satisfying 1+cos2 theta+cos4 theta+cos6 theta+cos8 theta+cos10 theta=(cos m theta*sin n theta)/(sin theta) then (m+n) is equal to

    Prove the following : cos 3 theta+ cos 5 theta+ cos 7 theta+ cos 9 theta= 4 cos theta cos 2 theta cos 6 theta .

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