A. Use this diagram of a right triangle to derive and prove the Pythagorean Identity, based on sin 0 and cos . 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
O
a
B. With respect to e, the adjacent side of the triangle has a length of 6 cm and the opposite side has a length of 3 cm.
Find the value of the hypotenuse h. Then, use these values to confirm the Pythagorean Identity for this triangle.