Question

Корень из 2 * (sin35*cos80 - sin125*sin80/ sin10*sin20 - cos170*cos20)

Answer 1

0,97859782529

ответ.....

Answer 2

To simplify the given expression, let's break it down step by step:

1. First, simplify the trigonometric terms inside the parentheses:

sin35° ≈ 0.5736 cos80° ≈ 0.1736 sin125° ≈ 0.8192 sin80° ≈ 0.9848 sin10° ≈ 0.1736 sin20° ≈ 0.3420 cos170° ≈ -0.9848 cos20° ≈ 0.9397

2. Now, plug these values into the expression:

sin35° * cos80° - sin125° * sin80° / (sin10° * sin20° - cos170° * cos20°)

0.5736 * 0.1736 - 0.8192 * 0.9848 / (0.1736 * 0.3420 - (-0.9848) * 0.9397)

3. Continue to simplify:

0.0994 - 0.8056 / (0.0593 + 0.925)

4. Perform the operations inside the parentheses:

0.0994 - 0.8056 / 0.9843

5. Divide:

0.0994 - 0.8181

6. Subtract:

-0.7187

Finally, the simplified expression is approximately equal to -0.7187.