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Understanding the Tangent Ratio in Right Triangles

In this chapter, we explore the tangent ratio in right triangles, a fundamental concept in trigonometry. Learn how to use tangent ratios to determine unknown side lengths of triangles, using trigonometric definitions. We will define the tangent of an angle, utilize tangent ratios in problem-solving, and provide step-by-step examples. Each solved problem will guide you in calculating the sides of a triangle accurately, rounding to the nearest tenth. Mastering these concepts will enhance your understanding of right triangles and their applications in various fields.

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Understanding the Tangent Ratio in Right Triangles

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  1. Chapter 8:Right Triangles and Trigonometry Section 8-3: The Tangent Ratio

  2. Objective: • To use tangent ratios to determine side lengths in triangles.

  3. Vocabulary • Tangent

  4. Tangent • The tangent of RA is defined as:

  5. Writing Tangent Ratios: B • tan A =______ • tan B=______ 5 3 A C 4

  6. Using Tangents • Solve for the variable. Round your answer to the nearest tenth.

  7. Using Tangents • Solve for the variable. Round your answer to the nearest tenth.

  8. Using Tangents • Solve for mRX. Round your answer to the nearest tenth.

  9. Using Tangents • Solve for mRY. Round your answer to the nearest tenth.

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