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Calculate sin(A±B), cos(A±B), and tan(A±B) using the sum and difference formulas.
sin(75°) = sin(45° + 30°)
= sin45°·cos30° + cos45°·sin30°
= (√2/2)(√3/2) + (√2/2)(1/2)
= (√6 + √2)/4 ≈ 0.9659
cos(15°) = cos(45° - 30°)
= cos45°·cos30° + sin45°·sin30°
= (√2/2)(√3/2) + (√2/2)(1/2)
= (√6 + √2)/4 ≈ 0.9659