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Prove that : cos^2alpha+cos^2(alpha+beta...

Prove that : `cos^2alpha+cos^2(alpha+beta)-2cosalphacosbetacos(alpha+beta)=sin^2beta`

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Knowledge Check

  • If A = cos ^(2) alpha + cos ^2(alpha + beta)- 2 cos alpha cos beta cos (alpha + beta), then

    A
    `A gt 1`
    B
    `0 le A le 1`
    C
    `-1 le A lt 0`
    D
    `A lt -1`

  • sin^(2)alpha+cos^(2)(alpha+beta)+2sin alpha sin beta cos(alpha+beta) is independent of

    A
    `alpha`
    B
    `beta`
    C
    both `alpha and beta`
    D
    none

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