Question

match the trig ratios

= \frac{\text{opposite}}{\text{hypotenuse}}

= \frac{\text{adjacent}}{\text{hypotenuse}}

= \frac{\text{opposite}}{\text{adjacent}}

Explanation:

⚡ Using what you learned: right triangle trigonometry (soh cah toa)

Step 1: Identify the sine ratio

$$ \sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}} $$

Step 2: Identify the cosine ratio

$$ \cos(\theta) = \frac{\text{adjacent}}{\text{hypotenuse}} $$

Step 3: Identify the tangent ratio

$$ \tan(\theta) = \frac{\text{opposite}}{\text{adjacent}} $$

Answer:

• sine (or sin) \( = \frac{\text{opposite}}{\text{hypotenuse}} \)
• cosine (or cos) \( = \frac{\text{adjacent}}{\text{hypotenuse}} \)
• tangent (or tan) \( = \frac{\text{opposite}}{\text{adjacent}} \)