Question

4 (cos10 + sin10) * 2 (cos 35 + sin 35)

Answer 1

Решение прикрепила на фотографии ❤️

Answer 2

To simplify the expression, let's start by expanding the products:

4(cos(10°) + sin(10°)) * 2(cos(35°) + sin(35°))

Using the distributive property, we can distribute each term inside the parentheses:

= 4 * cos(10°) + 4 * sin(10°) + 2 * cos(35°) + 2 * sin(35°)

Now, we can calculate the trigonometric values for each angle:

cos(10°) ≈ 0.9848 sin(10°) ≈ 0.1736 cos(35°) ≈ 0.8192 sin(35°) ≈ 0.5736

Substituting these values into the expression:

= 4 * 0.9848 + 4 * 0.1736 + 2 * 0.8192 + 2 * 0.5736

= 3.9392 + 0.6944 + 1.6384 + 1.1472

= 7.4192

Therefore, 4(cos(10°) + sin(10°)) * 2(cos(35°) + sin(35°)) is approximately equal to 7.4192.