Wskaż wartość wyrażenia sin do kwadratu 45 stopni + cos. 30 stopni / 2 sin. 60 stopni:
... = (√2/2)² + (√3/2) / (2 * √3/2) = 2/4 + (√3/2) / (√3) = 1/2 + √3/2 * 1/√3 = 1/2 + 1/2 = 1
sin 45 = √2/2
cos 30 = √3/2
sin 60 = √3/2
sin²45+cos30/2sin60 = (√2/2)²+√3/2: 2√3/2 = 2/4 + √3/2 ·1/√3 = 1/2 + 1/2 = 1
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... = (√2/2)² + (√3/2) / (2 * √3/2) = 2/4 + (√3/2) / (√3) = 1/2 + √3/2 * 1/√3 = 1/2 + 1/2 = 1
sin 45 = √2/2
cos 30 = √3/2
sin 60 = √3/2
sin²45+cos30/2sin60 = (√2/2)²+√3/2: 2√3/2 = 2/4 + √3/2 ·1/√3 = 1/2 + 1/2 = 1