Question

3. Знайдіть значення виразу cos² 30° + sin² 52° + cos² 52°. срочно​

Answer 1

Ответ:

решение смотри на фотографии

Answer 2

Finding the Value of the Expression cos² 30° + sin² 52° + cos² 52°

To find the value of the expression cos² 30° + sin² 52° + cos² 52°, we can use trigonometric identities and the values of cosine and sine for the given angles.

1. cos² 30°: - The value of cos 30° is √3/2. - Therefore, cos² 30° = (√3/2)² = 3/4.

2. sin² 52°: - The value of sin 52° is approximately 0.7880. - Therefore, sin² 52° ≈ 0.7880² ≈ 0.6205.

3. cos² 52°: - The value of cos 52° is approximately 0.6157. - Therefore, cos² 52° ≈ 0.6157² ≈ 0.3784.

Now, we can calculate the value of the given expression:

cos² 30° + sin² 52° + cos² 52° ≈ 3/4 + 0.6205 + 0.3784 ≈ 1.9989

So, the value of the expression cos² 30° + sin² 52° + cos² 52° is approximately 1.9989.