Ответ:
1) cos (76°) ≈ 0,2419 (по таблице)
2) tg (16°) ≈ 0,2867 (по таблице)
3) cos (60°) × sin (30°) + sin²(45°) = 0,75
cos 60° = 1/2
sin 30° = 1/2
sin 45° = √2/2
1/2 × 1/2 + (√2/2)² = 1/4 + 2/4 = 3/4 = 0,75
4) sin²(a) + cos²(a) = 1 =>
=> cos a = √1 - sin²(a) = √1 - (1/2)² = √1 - 1/4 = √3/4 = √3/2
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Answers & Comments
Ответ:
1) cos (76°) ≈ 0,2419 (по таблице)
2) tg (16°) ≈ 0,2867 (по таблице)
3) cos (60°) × sin (30°) + sin²(45°) = 0,75
cos 60° = 1/2
sin 30° = 1/2
sin 45° = √2/2
1/2 × 1/2 + (√2/2)² = 1/4 + 2/4 = 3/4 = 0,75
4) sin²(a) + cos²(a) = 1 =>
=> cos a = √1 - sin²(a) = √1 - (1/2)² = √1 - 1/4 = √3/4 = √3/2