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Unit 2: Trigonometry. The word trigonometry comes from the Greek. “ Tri ” means three; “ gono ” comes from the Greek word for angle; “ metry ” comes from the Greek for measure.
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Unit 2: Trigonometry The word trigonometry comes from the Greek. “Tri” means three; “gono” comes from the Greek word for angle; “metry” comes from the Greek for measure. We will study trigonometry that can be used with RIGHT ANGLE TRIANGLES ONLY!!! A right angle triangle has one angle equal to ______. 90°
Right Triangles A new way to name sides! 3. Decide where these labels should go... • hypotenuse • opposite • adjacent opposite adjacent hypotenuse hypotenuse adjacent opposite Time to make sure you get it!
Q R P e p f r D q d E F e q d p f r f r d p
15 10 9 #3 6 5 #2 3 #1 4 12 8 hyp opp 37 37 37 adj tangent sine cosine 3 4 5 0.75 0.60 0.80 6 8 10 0.75 0.60 0.80 9 12 15 0.75 0.60 0.80
Humor Break... Q: Why do old mathematicians retire to Florida? A: Because they want to become tan-gents!
Cos = _________ Sin = _________ Tan = _________ opp adj opp hyp hyp adj Here’s a little way of remembering… SOH CAH TOA sine adjacent cosine adjacent opposite opposite tangent hypotenuse hypotenuse
B 11 cm 6 cm C A 14 cm Use the side lengths of the following triangle to complete the ratios: Can we make ratios using B? adj opp opp adj No, it is 90°! hyp tan A = ______ 6 11 tan C = ______ 11 6 sin A = ______ sin C = ______ 6 11 14 14 cos A = ______ cos C = ______ 11 6 14 14
