Six Trigonometric Ratios Test

The six trigonometric ratios are: 1. Sine (sin) 2. Cosine (cos) 3. Tangent (tan) 4. Cosecant (csc) 5. Secant (sec) 6. Cotangent (cot)

Sine (sin) is the ratio of the length of the opposite side to the length of the hypotenuse. Formula: $$\text{sin}(\theta) = \frac{\text{opposite}}{\text{hypotenuse}}$$ .

Cosine (cos) is the ratio of the length of the adjacent side to the length of the hypotenuse. Formula: $$\text{cos}(\theta) = \frac{\text{adjacent}}{\text{hypotenuse}}$$ .

Tangent (tan) is the ratio of the length of the opposite side to the length of the adjacent side. Formula: $$\text{tan}(\theta) = \frac{\text{opposite}}{\text{adjacent}}$$ .

Cosecant (csc) is the reciprocal of sine. Formula: $$\text{csc}(\theta) = \frac{1}{\text{sin}(\theta)}$$ .

Secant (sec) is the reciprocal of cosine. Formula: $$\text{sec}(\theta) = \frac{1}{\text{cos}(\theta)}$$ .

Cotangent (cot) is the reciprocal of tangent. Formula: $$\text{cot}(\theta) = \frac{1}{\text{tan}(\theta)}$$ .

$$\text{sin}(\theta) = \frac{7}{25}$$ .

$$\text{cos}(S) = \frac{28}{53}$$ .

$$\text{tan}(S) = \frac{45}{28}$$ .