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Determine the exact value of:

sin30° + cos225° + sin150° + cos330°

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sin30° + cos225° + sin150° + cos330°
= sin30° + (-cos45°) + sin30° + cos30°
= 1/2 - 1/√2 + 1/2 + √3/2
= 1 - 1/√2 + √3/2

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