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Introduction to Trigonometric Ratios: Understanding Triangle Measurements

Trigonometry derives from the Greek words for triangle and measure, focusing on the study of triangle measurements. This guide covers basic trigonometric ratios, identifying triangle sides, and understanding sine, cosine, and tangent functions. Through instructional videos, you'll learn to set up ratios for angles A and B, calculate using a calculator, and solve for missing sides and angles. Master the fundamental principles of trigonometry for effective problem-solving and application in various mathematical contexts.

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Introduction to Trigonometric Ratios: Understanding Triangle Measurements

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  1. 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) Hypotenuse side ___________ Opposite of angle A _________ Opposite of angle B________ Adjacent to Angle A _________ Adjacent to Angle B _______ a b B c A 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 = Cos A = Tan A = Sin B = Cos B = Tan B = A 5 3 B C 4 X Sin Z = Cos Z = Tan Z = Sin X = Cos X = Tan X = 13 5 Z Y 12 Using a Calculator Sin 39 = Cos 58 = Tan 85 = Sin 30 =

  2. Solving for a side (video 2:00-2:31) Y 10 12 85 38 X 45 70 Z A 50 34 Solving for an Angle (video 2:31-2:48) 15 W 20 7 27 X 32 12 Z Y 18 21

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