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Let cos15 ° - sin15 ° = X, (cos15°-sin15°)²=x², cos²15°-2sin15°cos15°+sin²15°=x², 1-sin30°=x² 1-1/2=x², ∴x²=1/2 X = √ 2 / 2 (∵ cos 15 ° - Sin 15 ° > 0, ∵ x = - √ 2 / 2, rounded off)
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