Lesson: Trig SOH CAH TOA

There are 4 things needed to do trigonometry There are 4 things needed to do trigonometry 1. Trig Formulas There are 4 things needed to do trigonometry 1. Trig Formulas 2. Labeling Sides There are 4 things needed to do trigonometry 3. Setting up Formula 1. Trig Formulas 2. Labeling Sides There are 4 things needed to do trigonometry 3. Setting up Formula 4. Solving Formula 1. Trig Formulas 2. Labeling Sides 4. There are 4 things needed to do trigonometry 2. 3. 1. Setting up Formula ? Solving Formula ? Trig Formulas ? Labeling Sides ? There are SIX trig formulas There are SIX trig formulas but we are only going to learn THREE of them. There are SIX trig formulas Sine but we are only going to learn THREE of them. There are SIX trig formulas Sine, Cosine but we are only going to learn THREE of them. There are SIX trig formulas Sine, Cosine, Tangent but we are only going to learn THREE of them. The formula for sine is The formula for sine is Sine ⊾ = hypotenuse opposite The formula for sine is The formula for cosine is Sine ⊾ = hypotenuse opposite The formula for sine is The formula for cosine is Sine ⊾ = cosine ⊾ = hypotenuse opposite hyponetuse adjacent The formula for tangent is The formula for sine is The formula for cosine is Sine ⊾ = cosine ⊾ = hypotenuse opposite hyponetuse adjacent The formula for tangent is The formula for sine is The formula for cosine is Sine ⊾ = cosine ⊾ = tangent ⊾ = hypotenuse opposite hyponetuse adjacent adjacent opposite The formula for tangent is The formula for sine is The formula for cosine is Sine ⊾ = cosine ⊾ = tangent ⊾ = hypotenuse ? opposite hyponetuse adjacent ? adjacent opposite ? sine ⊾ ? cosine ⊾ ? tangent ⊾ ? = = = adjacent hypotenuse opposite adjacent opposite hypotenuse These formulas can be remember by using These formulas can be remember by using SOH These formulas can be remember by using SOH CAH These formulas can be remember by using SOH CAH TOA These formulas can be remember by using S stands for sine SOH CAH TOA These formulas can be remember by using C stands for cosine S stands for sine SOH CAH TOA These formulas can be remember by using C stands for cosine S stands for sine T stands for tangent SOH CAH TOA These formulas can be remember by using C stands for cosine S stands for sine T stands for tangent SOH CAH TOA O stands for opposite These formulas can be remember by using C stands for cosine S stands for sine T stands for tangent SOH CAH TOA O stands for opposite A stands for adjacent These formulas can be remember by using C stands for cosine S stands for sine T stands for tangent SOH CAH TOA O stands for opposite A stands for adjacent H stands for hypotenuse Hypotenuse Opposite Adjacent tangent cosine sine Single Letter Abbreviation A ? O ? C ? H ? S ? T ? Triple Letter hyp ? opp ? adj ? tan ? cos ? sin ? Next, you have to be able to label the right triangle. Next, you have to be able to label the right triangle. Here are two example triangles Next, you have to be able to label the right triangle. Here are two example triangles Each of these triangles has a right angle Next, you have to be able to label the right triangle. Here are two example triangles Each of these triangles has a right angle Next, you have to be able to label the right triangle. and an angle that is marked Here are two example triangles Each of these triangles has a right angle Next, you have to be able to label the right triangle. and an angle that is marked Here are two example triangles The hypotenuse is the side across from the right angle Next, you have to be able to label the right triangle. Here are two example triangles The hypotenuse is the side across from the right angle Next, you have to be able to label the right triangle. Here are two example triangles Hyp Hyp The opposite is the side across from the marked angle The hypotenuse is the side across from the right angle Next, you have to be able to label the right triangle. Here are two example triangles Hyp Hyp The opposite is the side across from the marked angle The hypotenuse is the side across from the right angle Next, you have to be able to label the right triangle. Here are two example triangles Hyp Opp Hyp Opp The last side is the adjacent The opposite is the side across from the marked angle The hypotenuse is the side across from the right angle Next, you have to be able to label the right triangle. Here are two example triangles Hyp Opp Adj Adj Hyp Opp Hyp ? Opp ? Adj Adj ? Hyp Opp Hyp ? Opp ? Adj ? Opposite: Adjacent: Hypotenuse: c ? a ? c b ? b a To figure out which formula to use you have to look at the sides involved in the problem To figure out which formula to use you have to look at the sides involved in the problem To figure out which formula to use First, label the sides 35 ^{∘}9 x you have to look at the sides involved in the problem To figure out which formula to use First, label the sides Hyp ? 35 ^{∘}9 Adj ? x Opp ? you have to look at the sides involved in the problem To figure out which formula to use First, label the sides then determine the sides involved Hyp 35 ^{∘}9 Adj x Opp you have to look at the sides involved in the problem To figure out which formula to use First, label the sides then determine the sides involved Hyp 35 ^{∘}9 Adj x Opp we are looking for This is the side we are given you have to look at the sides involved in the problem To figure out which formula to use This is the side First, label the sides then determine the sides involved Hyp 35 ^{∘}9 Adj x Opp we are looking for This is the side you have to look at the sides involved in the problem To figure out which formula to use First, label the sides then determine the sides involved so our problem involves Opp and Hyp Hyp 35 ^{∘}9 Adj x Opp you have to look at the sides involved in the problem To figure out which formula to use We will use the formula that has opp and hyp Hyp 35 ^{∘}9 Adj x Opp you have to look at the sides involved in the problem To figure out which formula to use We will use the formula that has opp and hyp Hyp SOH CAH TOA 35 ^{∘}9 Adj x Opp you have to look at the sides involved in the problem To figure out which formula to use We will use the formula that has opp and hyp Hyp SOH CAH TOA 35 ^{∘}9 Adj x Opp you have to look at the sides involved in the problem To figure out which formula to use We will use the formula that has opp and hyp so we will use sine. Hyp SOH CAH TOA 35 ^{∘}9 Adj x Opp you have to look at the sides involved in the problem To figure out which formula to use sin 35 ^{∘} =Hyp 35 ^{∘}9 Adj x 9 x Opp sine cosine tangent Which one would I use 15 ^{∘}3 x 20 75 ^{∘}x sine cosine tangent sine cosine tangent x 77 ^{∘}3 To solve the equation To solve the equation you will do different things To solve the equation you will do different things depending on where the x is To solve the equation if x is in the top, you will do different things depending on where the x is To solve the equation if x is in the top, sin 35 = you will do different things depending on where the x is x 4 To solve the equation if x is in the top, sin 35 = you will do different things depending on where the x is x 4 you multiply To solve the equation if x is in the top, sin 35 = you will do different things depending on where the x is x 4 you multiply 4sin35 To solve the equation If x is in the bottom you will do different things depending on where the x is To solve the equation If x is in the bottom sin 35 = you will do different things depending on where the x is x 4 To solve the equation If x is in the bottom sin 35 = you will do different things depending on where the x is x 4 you divide To solve the equation If x is in the bottom sin 35 = you will do different things depending on where the x is x 4 you divide 4 / sin 35 To solve the equation If x is the angle you will do different things depending on where the x is To solve the equation If x is the angle you will do different things sin x = depending on where the x is 3 4 To solve the equation If x is the angle you will do different things sin x = depending on where the x is 3 4 you do sin ^{-1}To solve the equation If x is the angle you will do different things sin x = depending on where the x is 3 4 you do sin ^{-1}sin ^{-1}(3/4)tan 60 ^{∘ }=How do you solve? multiply divide tan ^{-1}x 5 sin 45 ^{∘ }=How do you solve? multiply divide sin ^{-1}x 5 tan 5 ^{∘ }=How do you solve? multiply divide tan ^{-1}10 x cos 25 ^{∘ }=How do you solve? multiply divide cos ^{-1}10 x cos x ^{∘ }=How do you solve? multiply divide cos ^{-1}10 20 sin x ^{∘ }=How do you solve? multiply divide sin ^{-1}10 20 Label the sides Hyp ? Opp ? x 6 70 ^{∘}Adj ? Determine which sides are important Opp & Hyp Opp & Adj Adj & Hyp Hyp Opp x 6 70 ^{∘}Adj Choose the formula SOH CAH TOA Hyp Opp x 6 70 ^{∘}Adj Fill in the formula sin = Hyp Opp 6 ? x ? x 6 70 ^{∘}Adj How do you solve the problem sin = Hyp Opp 6 x x 6 6sin70 6/sin70 sin ^{-1}(6/70)70 ^{∘}Adj Solve the problem (Round to tenth) sin = Hyp Opp 6 x x 6 70 ^{∘}x = Adj Label the sides Opp ? Hyp ? 9 75 ^{∘}x Adj ? Choose the important sides Opp Hyp 9 75 ^{∘}x Opposite & Hypotenuse Adjacent & Hypotenuse Opposite & Adjacent Adj Choose the correct formula Opp Hyp 9 75 ^{∘}x Adj SOH CAH TOA Fill in formula cos Opp Hyp = 9 9 ? x ? 75 ^{∘}x Adj |

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