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Trigonometric Ratios The word trigonometry comes from 2 Greek words, trigon, meaning triangle, and metron, meaning measure. The study of trigonometry involves triangle measurement. We will be studying basic ___________________ ______________________ ___________________________ Identifying Sides (video 0:00- 1:00) a b B c A Hypotenuse side ___________ Opposite of angle A _________ Opposite of angle B________ Adjacent to Angle A _________ Adjacent to Angle B _______ The trig ratios we will be studying are ________________, __________________, and ______________________ Watch this video and try to pick up on the ratios for each function: (video 1:00-1:55) Sin =______________________ Cos = _______________________ Tan = _______________________ Setting up Ratios Sin A = Sin B = Cos A = Cos B = Tan A = Tan B = Sin X = Sin Z = Cos X = Cos Z = Tan X = Tan Z = A 5 3 C B 4 X 13 5 Y 12 Z Using a Calculator Sin 39 = Cos 58 = Sin 30 = Tan 85 = Solving for a side (video 2:00- 2:31) Y 10 85 12 38 X 45 70 Z A 50 34 Solving for an Angle (video 2:31- 2:48) 15 W 20 7 27 X 32 Z Y 18 21 12