Law of sine lecture examples (including a word problem & the SSA ambiguous case)

0:00 5 examples of the law of sine
1:28 Q1
6:10 Q2
10:43 Q3 word problem of the law of sine
17:32 Q4
20:09 Q5
26:59 Summary of the SSA ambiguous case

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#math #algebra #mathbasics

[bprpmathbasics]

Could any one please do the timestamps for this video? Your timestamps will be pinned. Thank you very much.

[ronieespinosa]

I like the new name of this channel and the calculus.

[lumina_]

new channel name 😮 thanks for the wonderful videos as always

[bobh]

We were taught, and I taught to never rely on a drawing. “So what do you do?” (to quote a famous YouTuber). SSA is not a congruence theorem. So if you are given SSA, you may not be able to solve the triangle because the angle opposite the largest given side could be acute or obtuse (do not use the drawing). If the given angle is obtuse (or right), then you have just one answer since you can’t have 2 obtuse angles in a triangle. If the given angle is acute, then you know that you have two possible angles, the one you get from the law of sines and its supplementary angle. If the problem gives further information you may be able to determine which angle to use.
I illustrated why you can’t use a drawing in a situation where you make a drawing that looks accurate, but where you put a point in the drawing that looks correct is actually impossible to exist.
Remember, if you are not careful, SSA can get you turned around and ….