Question

COS²30°+SIN²52°+COS²52°

Answer 1

Cos в квадрате 30 = 3/4
Синус в квадрате плюс косинус в квадрате = 1
Тогда 3/4 + 1 = 7/4=1,75

Answer 2

Let's solve this trigonometric expression step by step:

1. COS²30°: The cosine of 30 degrees is √3/2. So, COS²30° = (√3/2)² = 3/4.

2. SIN²52°: The sine of 52 degrees can be calculated using a calculator or trigonometric tables. For simplicity, I'll use a calculator here. The approximate value of SIN52° is 0.78801. So, SIN²52° ≈ 0.78801² ≈ 0.62008.

3. COS²52°: The cosine of 52 degrees can also be calculated using a calculator. The approximate value of COS52° is 0.61566. So, COS²52° ≈ 0.61566² ≈ 0.37938.

Now, add these values together:

COS²30° + SIN²52° + COS²52° ≈ 3/4 + 0.62008 + 0.37938 ≈ 1.75.

So, the value of the expression is approximately 1.75.