Right Triangle Trigonometry: Intro
[color=#000000]This applet accompanies the [/color][i][color=#0000ff]Right Triangle Trigonometry: Intro[/color][/i][color=#000000] activity packet you received at the beginning of class today. Use this applet to help you complete the guiding questions in this activity. [/color]
[color=#980000][b]Key Question: [/b][/color] [br][br][color=#000000]Hopefully, you noticed that when you keep the blue angle fixed and move only the white vertices, the value of each ratio never changes (even though the side lengths do)! [/color][color=#ff00ff][i]Why does this occur? [/i] Explain! [/color]
Law of Sines (Illustrated)
[i]The Law of Sines does tell us that for any triangle, the ratio of any side length to the sine of the angle opposite that side is equal to the ratio of any other side length to the sine of the angle opposite that other side. [br][/i][br]Yet it also tells us more.......click on the the [b]"[color=#b20ea8]CHECK THIS OUT TOO !!![/color]"[/b] link to see.[br][br][b]Question: How can we prove that the value of any of these 3 "always-equal" ratios is the same as what's illustrated here? [/b]
Law of Cosine Proof - visuals only
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