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cos 67,5° = √[(cos 135° + 1)/2]
cos 67,5° = √[(1/2√2 + 1)/2]
cos 67,5° = √[((√2 + 2)/2)/2]
cos 67,5° = √[(√2 + 2)/4]
cos 67,5° = 1/2√(√2 + 2)