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    Sum and difference identities

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    Find the coordinates of P(π/12)

    x = (1+√3)/(2√2)

    To find the y-coordinate you use the identity:
    sin(α- β) = (sinα)(cosβ) (cosα)(sinβ)

    Why do we use this identity? eg, why don't we use
    sin(α + β) = (sinα)(cosβ) + (cosα)(sinβ) ??

    © BrainMass Inc. brainmass.com February 24, 2021, 2:33 pm ad1c9bdddf
    https://brainmass.com/math/complex-analysis/sum-difference-identities-28527

    Solution Preview

    To find y_coordinate, we can use
    y=sqrt(1-x^2)=(-1+√3)/(2√2)

    If we use identities, then we let β=π/12 and α=π/6, then ...

    Solution Summary

    This solution shows how to use the difference identity to find coordinates.

    $2.19

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