Question

(2-4×cos(85°)^2)/sin28°

Answer 1

Ответ:

Объяснение:(2(2 – 4 × cos(85°)²) / sin(28°) = 4,195388309 – 4 × cos(85°)²) / sin(28°) = 4,195388309

Answer 2

To simplify the expression (2 - 4 × cos(85°)²) / sin(28°), let's break it down step by step:

1. Evaluate the cosine squared term: cos(85°)² cos(85°) ≈ 0.08716 cos(85°)² ≈ 0.00760

2. Evaluate the sine term: sin(28°) sin(28°) ≈ 0.46947

3. Substitute the values back into the expression: (2 - 4 × 0.00760) / 0.46947

4. Simplify the numerator: 2 - 4 × 0.00760 ≈ 2 - 0.0304 ≈ 1.9696

5. Divide the simplified numerator by the denominator: 1.9696 / 0.46947 ≈ 4.1957

Therefore, the simplified value of (2 - 4 × cos(85°)²) / sin(28°) is approximately 4.1957.