A. Use this diagram of a right triangle to derive and prove the Pythagorean Identity based on sin 0 and cos 0. 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.
h
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B. With respect to 0, the adjacent side of the triangle has a length of 12 cm and the opposite side has a length of 10 cm.
Find the values of the hypotenuse, h, 0, and e. Then, use these values to confirm the Pythagorean Identity for this
triangle.