2. The small angle theorem (sec. 14.2) says that for angles less than 10 (0.17 rad)...

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2. The small angle theorem (sec. 14.2) says that for angles less than 10 (0.17 rad) sine 0 if the angle is measured in radians. Use the triangle to the right to see the relationship between X, Y, and 0. Recall: Pythagorean theorem and 2 360. Trigonometry definitions are on the equation sheet. A. For the following x,y component pairs, complete the table. Show your work for pairs 5 and 6. B. After you fill in the table describe the difference between the x,y pairs which satisfy the small angle theorem and the x,y pairs that do not satisfy the small angle theorem. H Y X X (cm) Y (cm) H sine 0 degrees e radians Small angle? 1. 1 10 T F 2. 10 1 3. 9.5 3.2 4. 1.2 17.6 5. 0.5 4.5 6. 8.1 0.4 I T T LL F F LL T F T F T F 2. The small angle theorem (sec. 14.2) says that for angles less than 10 (0.17 rad) sine 0 if the angle is measured in radians. Use the triangle to the right to see the relationship between X, Y, and 0. Recall: Pythagorean theorem and 2 360. Trigonometry definitions are on the equation sheet. A. For the following x,y component pairs, complete the table. Show your work for pairs 5 and 6. B. After you fill in the table describe the difference between the x,y pairs which satisfy the small angle theorem and the x,y pairs that do not satisfy the small angle theorem. H Y X X (cm) Y (cm) H sine 0 degrees e radians Small angle? 1. 1 10 T F 2. 10 1 3. 9.5 3.2 4. 1.2 17.6 5. 0.5 4.5 6. 8.1 0.4 I T T LL F F LL T F T F T F

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