Definition of Sine, Cosine, and Tangent

New York State Common Core Math Geometry, Module 2, Lesson 26

Worksheets for Geometry

Definition of Sine, Cosine, and Tangent

Classwork

Exercises 1–3

1. Identify the opp/hyp ratios for ∠𝐴 and ∠𝐵.
2. Identify the adj/hyp ratios for ∠𝐴 and ∠𝐵.
3. Describe the relationship between the ratios for ∠𝐴 and ∠𝐵.

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Exercises 4–9

4. In △ 𝑃𝑄𝑅, 𝑚∠𝑃 = 53.2° and 𝑚∠𝑄 = 36.8°. Complete the following table.
5. In the triangle below, 𝑚∠𝐴 = 33.7° and 𝑚∠𝐵 = 56.3°. Complete the following table.
6. In the triangle below, let 𝑒 be the measure of ∠𝐸 and 𝑑 be the measure of ∠𝐷. Complete the following table.
7. In the triangle below, let 𝑥 be the measure of ∠𝑋 and 𝑦 be the measure of ∠𝑌. Complete the following table.
8. Tamer did not finish completing the table below for a diagram similar to the previous problems that the teacher had on the board where 𝑝 was the measure of ∠𝑃 and 𝑞 was the measure of ∠𝑄. Use any patterns you notice from Exercises 1–4 to complete the table for Tamer.
9. Explain how you were able to determine the sine, cosine, and tangent of ∠𝑄 in Exercise 8.

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