8: Trigonometry
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- 8.1: Angles
- Angle measurement is important in construction, surveying, physical therapy, and many other fields. We can visualize an angle as the figure formed when two line segments share a common endpoint. We can also think about an angle as a measure of rotation. A full rotation or a full circle is 360∘ , so a half rotation or U-turn is 180∘ , and a quarter turn is 90∘ .
- 8.2: Triangles
- This page explains triangle classification by sides (equilateral, isosceles, scalene) and angles (obtuse, right, acute). It introduces the Pythagorean theorem, essential for determining properties of right triangles. The page includes exercises for classifying triangles and applying the theorem to find missing side lengths and check for right angles, alongside calculations for square roots.
- 8.3: Right Triangle Trigonometry
- This page teaches how to solve right triangles using trigonometry and the Pythagorean Theorem, demonstrating these concepts through practical applications like building ramps and flying kites. It covers determining missing lengths and angles, highlights the significance of acute angles, and provides calculator techniques for sine, cosine, and tangent values. Examples include solving cosine equations and using inverse tangent to find angles.