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Mastering Trigonometry: Law of Sines Lesson

Learn how to apply the Law of Sines in advanced geometry problems. Find angles and sides of triangles using this trigonometric law with step-by-step examples and explanations.

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Mastering Trigonometry: Law of Sines Lesson

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  1. Advanced Geometry Trigonometry Lesson 4 The Law of Sines

  2. C a b A B c

  3. C C a a b b x y A B A B c c The Law of Sines

  4. Example: Find p. Round to the nearest tenth.

  5. Example: Find m∠L to the nearest degree in ∆LMN if n = 7, l = 9, and m∠N = 43.

  6. Example: Solve ∆DEF if m∠D = 112, m∠F = 8, and f = 2. Round angle measures to the nearest degree and side measures to the nearest tenth.

  7. Example: Solve ∆HJK if m∠J = 32, h = 30, and j = 16. Round angle measures to the nearest degree and side measures to the nearest tenth.

  8. Example: Three cities form the vertices of a triangle. The angles of the triangle are 40°, 60°, and 80°. The two most distant cities are 40 miles apart. How close are the two closest cities to the nearest tenth of a mile?

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