This math unit begins with teaching students to recognize and select basic trigonometric identities based on variable side ratios of right triangles, such as sine, cosine, and tangent. Progressing further, the unit emphasizes the calculation of angles using inverse trigonometric functions (both in inverse notation and arc notation) from given ratios. As students become proficient in determining angles from ratios, they move on to learn how to calculate specific trigonometric ratios from given angles, which deepens their understanding of the relationship between angles and side lengths in triangles. Moving towards more advanced applications, the unit covers the reciprocal process: calculating angles given specific trigonometric ratios in various notational formats. It also includes practice solving for angles using custom ratio fractions alongside trigonometric identities. Ultimately, the later sections of the unit require students to apply their knowledge to solve for unknown sides and trigonometric ratios using side lengths provided in diagrams or worded contexts. The unit concludes by refining skills in interpreting side lengths directly from diagrams and enhancing proficiency in trigonometric applications framed within practical and increasingly complex geometric scenarios.Skills you will learn include:
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