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Copy of Trigonometric Ratios in Right Triangles

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What do you notice about the two triangles?

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Predict the value of x.

Discover sine, cosine, and tangent ratios in right triangles. Observe how these ratios change when modifying the triangle.

Putting It All Together

Answer these open ended questions on your own or with others to form deeper math connections.

In a 3, 4, 5 right triangle, what are the sine ratios?

In a 3, 4, 5 right triangle, what are the cosine ratios?

In a 3, 4, 5 right triangle, what are the tangent ratios?

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Extension: How can you use the sine function to find the exact value of x? What is the exact value of x?