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A. Use this diagram of a right triangle to derive and prove the Pythagorean Identity, based on sin θ and cosθ. Start with what you know about the relationship among a (adjacent side), o (opposite side), and h (hypotenuse). Using the diagram and the labeled components, define sine and cosine. Incorporate these definitions in your equation. In your response, include all steps and calculations. B. In respect to θ, the adjacent side of the triangle has a length of 6 units and the opposite side has a length of 3. Find the values of the hypotenuse, h, sinθ, and cosθ. Use these values to confirm the Pythagorean Identity for this triangle.
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