"Exaples" ? Will the sequel include a discussion of proofreading ?
In any discussion of trig, it's worth first discussing if a triangle (and they aren't all right triangles) can be solved. Any triangle contains six items of information - three sides and three angles. If any combination of three of those, of which at least one is a side, is known, all the others can be found.
It's important to not leave the student with the impression that, if he learns to solve right triangles, he understands trigonometry. He'll be lost the first time he encounters a triangle without a right angle unless he's been introduced to...
sum of the angles = 180 degrees
law of sines
law of cosines

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