For individual or collaborative investigation (Exercises 77-84)
These exercises use results from plane geometry to obtain exact values of the trigonometric
Start with a right
Extend side BC and draw a semicircle with diameter along BC extended, center at B, and radius AB. Draw segment AE. (See the figure.) Any angle inscribed in a semicircle is a right angle, so triangle EAD is a right triangle. Work Exercises 77-84 in order.
Use the Pythagorean theorem to show that the length AD is
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