Exploring Algebra and Trigonometry: Tangent, Sine, and Cosine Ratios in Real-World Problems

Dec 07, 2025

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Dive into the world of algebra and trigonometry as we explore tangent, sine, and cosine ratios to solve real-world problems. This study encompasses how to use these fundamental ratios to find unknown variables, rounding decimals to the nearest tenth. Additionally, we explore triangle similarity through side length ratios, proving that triangles sharing these ratios are similar. A guided example is provided to enhance understanding and demonstrate these concepts in action, making complex problems more manageable.

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Exploring Algebra and Trigonometry: Tangent, Sine, and Cosine Ratios in Real-World Problems

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Presentation Transcript

Using algebra with trigonometry Tangent ratio

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Using trigonometry with algebra Sine and cosine ratios
10. Use a sine or cosine ratio to find the value of each variable. Round decimals to the nearest tenth. 11.
Use a sine or cosine ratio to find the value of each variable. Round decimals to the nearest tenth. 12. 13.
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Solving Real World Problems

Challenge
Using triangle A to create the side length ratios, we get: ; ; . Prove that all other triangles have the same ratio. Prove that they are all similar. An example is given. F E D C B A Triangle B