Question

Cos² 8° - sin² 8° ====

Answer 1

Ответ:

cos(64)-sin(64)

Объяснение:

Answer 2

cos16°

Здесь формула 2-ого угла для косинуса.

cos²x-sin²x=cos2x

Answer 3

To simplify the expression cos² 8° - sin² 8°, we can use the trigonometric identity known as the double-angle formula for cosine, which states:

cos(2θ) = cos² θ - sin² θ

Now, let θ = 8°, so we have:

cos² 8° - sin² 8° = cos(2 × 8°)

Using a calculator to find the value of cos(2 × 8°):

cos(2 × 8°) ≈ cos(16°) ≈ 0.9613

Therefore, cos² 8° - sin² 8° ≈ 0.9613.