Trig Ratio Basics

The tangent ratio is defined as the ratio of the length of the opposite side to the length of the adjacent side, expressed as $$\frac{opposite}{adjacent}$$ .

Trigonometric ratios are used specifically with right triangles.

The sine ratio is defined as the ratio of the length of the opposite side to the length of the hypotenuse, expressed as $$\frac{opposite}{hypotenuse}$$ .

The cosine ratio is defined as the ratio of the length of the adjacent side to the length of the hypotenuse, expressed as $$\frac{adjacent}{hypotenuse}$$ .

The tangent ratio is $$\frac{4}{3}$$ .

The hypotenuse can be found using the Pythagorean theorem: $$\text{hypotenuse} = \text{sqrt}(3^2 + 4^2) = 5$$ .

Using the Pythagorean theorem, the opposite side can be calculated as $$\text{opposite} = \text{sqrt}(5^2 - 4^2) = 3$$ .

The relationship can be expressed as: $$\tan(\theta) = \frac{\text{sin}(\theta)}{\text{cos}(\theta)}$$ .

The value of sin(30°) is $$\frac{1}{2}$$ .

The value of cos(60°) is $$\frac{1}{2}$$ .