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Math Help - cosine inequality

  1. #1
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    May 2010
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    cosine inequality

    How can I from the following cosine inequality
    cosq1.cosq1 + cosq2.cosq2 +cosq3.cosq3 - 2 cosq1.cosq2.cosq3 - 1 ≤ 0

    Drive the following inequality

    cosq1 cosq2 sqrt[(sinq1.sinq1)(sinq2.sinq2)]≤ cosq3 ≤ cosq1 cosq2 +
    sqrt[(sinq1.sinq1)(sinq2.sinq2)]

    sqrt == square root

    Please help
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  2. #2
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    Joined
    May 2010
    Posts
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    additional info

    Quote Originally Posted by aukj View Post
    How can I from the following cosine inequality
    cosq1.cosq1 + cosq2.cosq2 +cosq3.cosq3 - 2 cosq1.cosq2.cosq3 - 1 ≤ 0

    Drive the following inequality

    cosq1 cosq2 sqrt[(sinq1.sinq1)(sinq2.sinq2)]≤ cosq3 ≤ cosq1 cosq2 +
    sqrt[(sinq1.sinq1)(sinq2.sinq2)]

    sqrt == square root

    Please help
    above inequality is for a graph with 4 vertices and all vertices are connected with each other
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