Trig ratios missing side lengths practice quiz (Algebra 2 level)

📐 Topic Summary

Trigonometric ratios (sine, cosine, and tangent) relate the angles of a right triangle to the ratios of its sides. When given an angle and the length of one side, you can use these ratios to find the missing side lengths. Remember SOH CAH TOA: Sine = Opposite/Hypotenuse, Cosine = Adjacent/Hypotenuse, Tangent = Opposite/Adjacent. This practice quiz will test your ability to apply these ratios.

To solve for missing side lengths, first identify the angle you're working with and the sides you know (opposite, adjacent, or hypotenuse). Then, choose the trig ratio that relates those sides and the angle. Set up the equation and solve for the unknown side length.

🔤 Part A: Vocabulary

Match the term with its correct definition:

1. Term: Sine
2. Term: Cosine
3. Term: Tangent
4. Term: Opposite
5. Term: Adjacent

1. Definition: The side next to the angle (not the hypotenuse).
2. Definition: The ratio of the opposite side to the hypotenuse.
3. Definition: The ratio of the opposite side to the adjacent side.
4. Definition: The side across from the angle.
5. Definition: The ratio of the adjacent side to the hypotenuse.

✍️ Part B: Fill in the Blanks

Trigonometric ratios are used to relate the ______ and ______ of a right triangle. The three primary ratios are ______, ______, and ______. To find a missing side length, you must know one ______ and one ______.

🤔 Part C: Critical Thinking

Explain in your own words how you would determine which trigonometric ratio to use when solving for a missing side length in a right triangle.