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Sine Sum Identity From Table Data

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The data in the table support which of the following trigonometric identities?

α\alpha (°) β\beta (°) sin⁡(α+β)\sin(\alpha+\beta) (approx.) sin⁡(α)cos⁡(β)+cos⁡(α)sin⁡(β)\sin(\alpha)\cos(\beta)+\cos(\alpha)\sin(\beta) (approx.)
30 45 0.966 0.966
45 30 0.966 0.966
A

sin⁡(α+β)=sin⁡(α)+sin⁡(β)\sin(\alpha+\beta)=\sin(\alpha)+\sin(\beta)

B

sin⁡(α+β)=cos⁡(α)∗sin⁡(β)\sin(\alpha+\beta)=\cos(\alpha)*\sin(\beta)

C

sin⁡(α+β)=cos⁡(α)∗cos⁡(β)\sin(\alpha+\beta)=\cos(\alpha)*\cos(\beta)

D

sin⁡(α+β)=sin⁡(α)∗cos⁡(β)+cos⁡(α)∗sin⁡(β)\sin(\alpha+\beta)=\sin(\alpha)*\cos(\beta)+\cos(\alpha)*\sin(\beta)

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