Question

АС = 3 см. ВС = 4 см. Найти: sin α, cos α, tg α.

Answer 1

Мало условия, надо знать где угол альфа и какой угол прямой

Answer 2

To find the values of sin α, cos α, and tan α, we first need to know the relationship between the sides of the right-angled triangle. Let's assume that angle α is the angle between the sides AC and BC.

Given: AC = 3 cm BC = 4 cm

We can use the following trigonometric ratios for a right-angled triangle:

1. sine (sin α) = opposite / hypotenuse
2. cosine (cos α) = adjacent / hypotenuse
3. tangent (tan α) = opposite / adjacent

Here, the hypotenuse is the side opposite the right angle (side AB), the opposite side is the side opposite angle α (side AC), and the adjacent side is the side adjacent to angle α (side BC).

Step 1: Find the length of the hypotenuse (AB) using the Pythagorean theorem: AB^2 = AC^2 + BC^2 AB^2 = 3^2 + 4^2 AB^2 = 9 + 16 AB^2 = 25 AB = √25 AB = 5 cm

Step 2: Calculate the trigonometric ratios: sin α = AC / AB = 3 / 5 = 0.6 cos α = BC / AB = 4 / 5 = 0.8 tan α = AC / BC = 3 / 4 = 0.75

So, the values of sin α, cos α, and tan α are: sin α ≈ 0.6 cos α ≈ 0.8 tan α ≈ 0.75