sin(α-30°)+cos(α+30°) = sinα cos30 - cosα sin30 + cosα cos30 - sinα sin30 = √3/2 sinα - 1/2 cosα + √3/2 cosα - 1/2 sinα = (√3/2 - 1/2)sinα + (√3/2 - 1/2) cosα = (√3-1)/2 (sinα+cosα) = (√3/-1)/√2 (sinα/√2 + cosα/√2) = (√3-1)/√2 sin(α+45)
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