Question

Cos 20 * cos 10 + sin 200 sin 370 / cos 2 15 - sin 2 15

Answer 1

Cos20 * cos 10 + sin 200 sin370 / cos 2,15 - sin 2,15 =0,9558389832551077

Answer 2

Let's break down the expression step by step:

1. cos(20) * cos(10):

   First, calculate cos(20) and cos(10):

   cos(20) ≈ 0.9397 cos(10) ≈ 0.9848

   Now, multiply them:

   0.9397 * 0.9848 ≈ 0.9257

2. sin(200) * sin(370):

   sin(200) ≈ -0.8733 sin(370) ≈ -0.8746

   Now, multiply them:

   -0.8733 * -0.8746 ≈ 0.7630

3. cos^2(15) - sin^2(15):

   First, calculate cos^2(15) and sin^2(15):

   cos(15) ≈ 0.9659 sin(15) ≈ 0.2588

   Now, square them:

   cos^2(15) ≈ 0.9320 sin^2(15) ≈ 0.0671

   Finally, subtract sin^2(15) from cos^2(15):

   0.9320 - 0.0671 ≈ 0.8649

Now, let's put it all together:

(0.9257 + 0.7630) / 0.8649 ≈ 1.6938

So, the final result is approximately 1.6938.