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

Prove that : `(cos alpha + cos beta)^2 + (sin alpha + sin beta)^2 = 4 cos^2 ((alpha-beta)/(2))`

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Prove that (cos alpha+cos beta)^(2)+(sin alpha+sin beta)^(2)=4cos^(2)((alpha-beta)/(2))

Prove that (cos alpha+cos beta)^(2)+(sin(alpha)+sin beta)^(2)=4cos^(2)((alpha-beta)/(2))

Knowledge Check

  • 2 sin^(2) beta + 4 cos ( alpha + beta ) sin alpha sin beta + cos 2 ( alpha + beta ) =

    A
    ` sin 2 alpha`
    B
    `cos 2 beta`
    C
    `cos 2 alpha`
    D
    ` sin 2 beta`

  • 2 sin ^(2) beta + 4 cos (alpha + beta) sin alpha sin beta + cos 2 (alpha + beta )=

    A
    ` sin 2 alpha `
    B
    `cos 2 beta `
    C
    `cos 2 alpha `
    D
    `sin 2 beta `

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