Trigonometric functions, like sine, cosine, and tangent, relate angles of a right triangle to the ratios of its sides. In Algebra 2, you'll use them to solve problems involving triangles, waves, and other periodic phenomena. Remember SOH CAH TOA: Sine = Opposite/Hypotenuse, Cosine = Adjacent/Hypotenuse, Tangent = Opposite/Adjacent. Practice applying these ratios to find missing sides and angles and understanding the unit circle for all angles.
Match the term with its correct definition:
| Term | Definition |
|---|---|
| 1. Sine | A. The ratio of the adjacent side to the hypotenuse. |
| 2. Cosine | B. The reciprocal of the sine function. |
| 3. Tangent | C. The ratio of the opposite side to the adjacent side. |
| 4. Cosecant | D. The ratio of the opposite side to the hypotenuse. |
| 5. Hypotenuse | E. The longest side of a right triangle, opposite the right angle. |
Match the correct letter (A-E) to the corresponding number (1-5).
Complete the following paragraph using the words provided:
(opposite, adjacent, hypotenuse, angle, ratio)
Trigonometric functions are based on the relationship between the sides of a right triangle and its ______. The sine of an angle is the ______ of the ______ side to the ______. The cosine of an angle is the ratio of the ______ side to the hypotenuse.
Explain how understanding trigonometric functions can be useful in real-world applications, providing at least two specific examples.
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