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Download Step 2 Using the Trig ratio. 20 m - MarcoR-Wiki-Fall-2015
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Original Power Point From mackinac.eup.k12.mi.us/cms/lib/ Mackinac Island Public School Author: Mrs. Bennett The Trigonometric Functions we will be looking at SINE COSINE TANGENT Some Old Hippie Came A Hoppin’ Through Our Old Hippie Apartment SOHCAHTOA Old Hippie Sin Opp Hyp Cos Adj Hyp Tan Opp Adj Ex: 1 Figure out which ratio to use. Find x. Round to the nearest tenth. x tan 55 20 20 m 55 20 tan 55 x 20 tan 55 ) x 28.6 m x Shrink yourself down and stand where the angle is. Now, figure out which trig ratio you have and set up the problem. Ex: 2 Find the missing side. Round to the nearest 80 tan 72 x x tan 72 80 tenth. 80 ft 80 x tan 72 72 x 80 ( tan Shrink yourself down and stand where the angle is. 72 ) ) = x 26 ft Now, figure out which trig ratio you have and set up the problem. New Version… I smell a hippie! The Trigonometric Ratios SINE COSINE TANGENT The trigonometric ratios can be used to find a missing side of a right triangle or an angle. SOH CAH TOA Old Hippie Sin Opp Hyp Cos Adj Hyp Tan Opp Adj Maybe this will help… Some Old Hippie Came A Hoppin’ Through Our Old Hippie Apartment I knew I smelled a hippie!! Now, how do we use this trig stuff? Step 1 Figure out which ratio to use. 20 m 55 x 𝑜 𝑎 𝑜 𝑆 𝐶 𝑇 ℎ ℎ 𝑎 Step 1 Figure out which ratio to use. 20 m 𝑜 𝑎 𝑜 𝑆 𝐶 𝑇 ℎ ℎ 𝑎 55 x Opposite Leg Label the sides of the triangle using the reference angle as the starting point. Draw an arrow straight from the reference angle, that is the opposite Leg Step 1 Figure out which ratio to use. 20 m 55 𝑜 𝑎 𝑜 𝑆 𝐶 𝑇 ℎ ℎ 𝑎 Hypotenuse x Opposite Leg Opposite the right angle is the hypotenuse. Step 1 Figure out which ratio to use. 20 m 55 𝑜 𝑎 𝑜 𝑆 𝐶 𝑇 ℎ ℎ 𝑎 Hypotenuse Adjacent Leg x Opposite Leg Lastly, label the remaining leg the Adjacent Leg Step 1 Figure out which ratio to use. 20 m 55 𝑜 𝑎 𝑜 𝑆 𝐶 𝑇 ℎ ℎ 𝑎 Hypotenuse Adjacent Leg x Opposite Leg The triangle gives you the ADJACENT LEG and is looking for the OPPOSITE LEG. Step 1 Figure out which ratio to use. 20 m 55 𝑜 𝑎 𝑜 𝑆 𝐶 𝑇 ℎ ℎ 𝑎 Hypotenuse Adjacent Leg x Opposite Leg TANGENT uses the OPPOSITE and ADJACENT leg Step 2 Using the Trig ratio. 20 m 𝑜 𝑎 𝑜 𝑆 𝐶 𝑇 ℎ ℎ 𝑎 55 Hypotenuse Adjacent Leg x Opposite Leg Plug in the information present. 𝑥 Tan(55)= 20 Step 2 Using the Trig ratio. 20 m 𝑜 𝑎 𝑜 𝑆 𝐶 𝑇 ℎ ℎ 𝑎 55 Hypotenuse Adjacent Leg x Insert a “1” under the Tan(55). Opposite Leg 𝑇𝑎𝑛 55 1 𝑥 = 20 Step 2 Using the Trig ratio. 20 m 𝑜 𝑎 𝑜 𝑆 𝐶 𝑇 ℎ ℎ 𝑎 55 Hypotenuse Adjacent Leg x Cross multiply Opposite Leg 𝑇𝑎𝑛 55 1 𝑥 = 20 Step 2 Using the Trig ratio. 20 m 𝑜 𝑎 𝑜 𝑆 𝐶 𝑇 ℎ ℎ 𝑎 55 Hypotenuse Adjacent Leg x Cross multiply Opposite Leg 20 ∙ 𝑇𝑎𝑛 55 = 𝑥 Step 2 Using the Trig ratio. 20 m 𝑜 𝑎 𝑜 𝑆 𝐶 𝑇 ℎ ℎ 𝑎 55 Hypotenuse Adjacent Leg x Opposite Leg 20 ∙ 𝑇𝑎𝑛 55 = 𝑥 Enter that into your calculator.. Step 2 Using the Trig ratio. 20 m 𝑜 𝑎 𝑜 𝑆 𝐶 𝑇 ℎ ℎ 𝑎 55 x The calculator does all of the hard work! 28.56 = 𝑥 Step 2 Using the Trig ratio. 20 m 55 28.56 m That is your answer. 𝑜 𝑎 𝑜 𝑆 𝐶 𝑇 ℎ ℎ 𝑎 Step 2 Using the Trig ratio. 20 m 55 They all work the same man! It works every time!! 28.56 m Done! 𝑜 𝑎 𝑜 𝑆 𝐶 𝑇 ℎ ℎ 𝑎
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