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Defining the sine, cosine and tangent ratios for angles in right-angled trianglesPart 2 - Cosine
The Cosine Ratio
The Cosine Ratio
The Cosine Ratio The Cosine of an angle is defined as the ratio between the Adjacent and the Hypotenuse
The Cosine Ratio The Cosine of an angle is defined as the ratio between the Adjacent and the Hypotenuse 𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒  
The Cosine Ratio The Cosine of an angle is defined as the ratio between the Adjacent and the Hypotenuse 𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒  
The Cosine Ratio The Cosine of an angle is defined as the ratio between the Adjacent and the Hypotenuse 𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒  
The Cosine Ratio The Cosine of an angle is defined as the ratio between the Adjacent and the Hypotenuse 𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒  
The Cosine Ratio The Cosine of an angle is defined as the ratio between the Adjacent and the Hypotenuse 𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒  
The Cosine Ratio The Cosine of an angle is defined as the ratio between the Adjacent and the Hypotenuse 𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒   Remember:
The Cosine Ratio The Cosine of an angle is defined as the ratio between the Adjacent and the Hypotenuse 𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒   Remember:
The Cosine Ratio The Cosine of an angle is defined as the ratio between the Adjacent and the Hypotenuse 𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒   C Remember:
The Cosine Ratio The Cosine of an angle is defined as the ratio between the Adjacent and the Hypotenuse 𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒   C Remember:
The Cosine Ratio The Cosine of an angle is defined as the ratio between the Adjacent and the Hypotenuse 𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒   CA Remember:
The Cosine Ratio The Cosine of an angle is defined as the ratio between the Adjacent and the Hypotenuse 𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒   CA Remember:
The Cosine Ratio The Cosine of an angle is defined as the ratio between the Adjacent and the Hypotenuse 𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒   CAH Remember:
The Cosine Ratio Remember: CAH
The Cosine Ratio Remember: CAH
The Cosine Ratio Remember: CAH cosine of 𝜃 is equal to 𝑎𝑑𝑗h𝑦𝑝=𝐪𝐫=7.038.21  
The Cosine Ratio Remember: CAH cosine of 𝜃 is equal to 𝑎𝑑𝑗h𝑦𝑝=𝐪𝐫=7.038.21  
The Cosine Ratio Remember: CAH cosine of 𝜃is equal to𝑎𝑑𝑗h𝑦𝑝=𝐪𝐫=7.038.21  
The Cosine Ratio Remember: CAH cosine of 𝜃is equal to𝑎𝑑𝑗h𝑦𝑝=𝐪𝐫=7.038.21   Adjacent
The Cosine Ratio Remember: CAH cosine of 𝜃is equal to𝒂𝒅𝒋h𝑦𝑝=𝐪𝐫=7.038.21   Adjacent
The Cosine Ratio Remember: CAH cosine of 𝜃is equal to𝒂𝒅𝒋h𝑦𝑝=𝐪𝐫=7.038.21   Adjacent
The Cosine Ratio Remember: CAH cosine of 𝜃is equal to𝒂𝒅𝒋𝒉𝒚𝒑=𝐪𝐫=7.038.21   Adjacent
The Cosine Ratio Remember: CAH cosine of 𝜃is equal to𝒂𝒅𝒋𝒉𝒚𝒑=𝐪𝐫=7.038.21   Hypotenuse Adjacent
The Cosine Ratio Remember: CAH cosine of 𝜃is equal to𝒂𝒅𝒋𝒉𝒚𝒑=𝐪𝐫=7.038.21   Hypotenuse Adjacent
The Cosine Ratio Remember: CAH cosine of 𝜃is equal to𝒂𝒅𝒋𝒉𝒚𝒑=𝐪𝐫=7.038.21   Hypotenuse Adjacent
The Cosine Ratio Remember: CAH cosine of 𝜃is equal to𝒂𝒅𝒋𝒉𝒚𝒑=𝐪𝐫=7.038.21   Hypotenuse Adjacent
The Cosine Ratio Remember: CAH cosine of 𝜃is equal to𝒂𝒅𝒋𝒉𝒚𝒑=𝐪𝐫=𝟔𝟐.𝟏8.21   Hypotenuse Adjacent
The Cosine Ratio Remember: CAH cosine of 𝜃is equal to𝒂𝒅𝒋𝒉𝒚𝒑=𝐪𝐫=𝟔𝟐.𝟏𝟔𝟕.𝟐   Hypotenuse Adjacent
The Cosine Ratio Remember: CAH cosine of 𝜃is equal to𝒂𝒅𝒋𝒉𝒚𝒑=𝐪𝐫=𝟔𝟐.𝟏𝟔𝟕.𝟐   Hypotenuse Adjacent
The Cosine Ratio 𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒  
The Cosine Ratio  𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒  
The Cosine Ratio  𝐂osine𝜃=𝑨𝑯   𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒  
The Cosine Ratio  𝐂osine=𝑨𝑯   𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒  
The Cosine Ratio  𝐂osine=𝑨𝑯   𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒  
The Cosine Ratio  𝐂osine=𝟏𝟗.𝟏𝑯   𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒  
The Cosine Ratio  𝐂osine=𝟏𝟗.𝟏𝑯   𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒  
The Cosine Ratio  𝐂osine=𝟏𝟗.𝟏𝒇   𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒  
The Cosine Ratio  𝐂osine=𝟏𝟗.𝟏𝒇   𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒  
The Cosine Ratio  𝐂osine=𝟏𝟗.𝟏𝒇   𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒   
The Cosine Ratio  𝐂osine=𝟏𝟗.𝟏𝒇   𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒   𝐂osine𝜃=𝑨𝑯   
The Cosine Ratio  𝐂osine=𝟏𝟗.𝟏𝒇   𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒   𝐂osine=𝑨𝑯   
The Cosine Ratio  𝐂osine=𝟏𝟗.𝟏𝒇   𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒   𝐂osine=𝑨𝑯   
The Cosine Ratio  𝐂osine=𝟏𝟗.𝟏𝒇   𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒   𝐂osine=𝒄𝑯   
The Cosine Ratio  𝐂osine=𝟏𝟗.𝟏𝒇   𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒   𝐂osine=𝒄𝑯   
The Cosine Ratio  𝐂osine=𝟏𝟗.𝟏𝒇   𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒   𝐂osine=𝒄𝒇   
The Cosine Ratio  𝐂osine=𝟏𝟗.𝟏𝒇   𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒   𝐂osine=𝒄𝒇   
The Cosine Ratio  𝐂osine=𝟏𝟗.𝟏𝒇   𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒   𝐂osine=𝒄𝒇    
The Cosine Ratio  𝐂osine𝜃=𝟏𝟗.𝟏𝒇   𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒   𝐂osine𝜃=𝑨𝑯   𝐂osine=𝒄𝒇    
The Cosine Ratio  𝐂osine=𝟏𝟗.𝟏𝒇   𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒   𝐂osine=𝑨𝑯   𝐂osine=𝒄𝒇    
The Cosine Ratio  𝐂osine=𝟏𝟗.𝟏𝒇   𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒   𝐂osine=𝑨𝑯   𝐂osine=𝒄𝒇    
The Cosine Ratio  𝐂osine=𝟏𝟗.𝟏𝒇   𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒   𝐂osine=𝒄𝑯   𝐂osine=𝒄𝒇    
The Cosine Ratio  𝐂osine=𝟏𝟗.𝟏𝒇   𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒   𝐂osine=𝒄𝑯   𝐂osine=𝒄𝒇    
The Cosine Ratio  𝐂osine=𝟏𝟗.𝟏𝒇   𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒   𝐂osine=𝒄𝟐𝟑.𝟔   𝐂osine=𝒄𝒇    
The Cosine Ratio  𝐂osine=𝟏𝟗.𝟏𝒇   𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒   𝐂osine=𝒄𝟐𝟑.𝟔   𝐂osine=𝒄𝒇    
The Cosine Ratio   𝐂osine=𝟏𝟗.𝟏𝒇   𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒   𝐂osine=𝒄𝟐𝟑.𝟔   𝐂osine=𝒄𝒇    
The Cosine Ratio   𝐂osine𝜃=𝑨𝑯   𝐂osine=𝟏𝟗.𝟏𝒇   𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒   𝐂osine=𝒄𝟐𝟑.𝟔   𝐂osine=𝒄𝒇    
The Cosine Ratio   𝐂osine𝛉=𝑨𝑯   𝐂osine=𝟏𝟗.𝟏𝒇   𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒   𝐂osine=𝒄𝟐𝟑.𝟔   𝐂osine=𝒄𝒇    
The Cosine Ratio   𝐂osine𝛉=𝑨𝑯   𝐂osine=𝟏𝟗.𝟏𝒇   𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒   𝐂osine=𝒄𝟐𝟑.𝟔   𝐂osine=𝒄𝒇    
The Cosine Ratio   𝐂osine𝛉=𝟑𝟐.𝟗𝑯   𝐂osine=𝟏𝟗.𝟏𝒇   𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒   𝐂osine=𝒄𝟐𝟑.𝟔   𝐂osine=𝒄𝒇    
The Cosine Ratio   𝐂osine𝛉=𝟑𝟐.𝟗𝑯   𝐂osine=𝟏𝟗.𝟏𝒇   𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒   𝐂osine=𝒄𝟐𝟑.𝟔   𝐂osine=𝒄𝒇    
The Cosine Ratio   𝐂osine𝛉=𝟑𝟐.𝟗𝟏𝟓𝟏   𝐂osine=𝟏𝟗.𝟏𝒇   𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒   𝐂osine=𝒄𝟐𝟑.𝟔   𝐂osine=𝒄𝒇    
The Cosine Ratio   𝐂osine𝛉=𝟑𝟐.𝟗𝟏𝟓𝟏   𝐂osine=𝟏𝟗.𝟏𝒇   𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒   𝐂osine=𝒄𝟐𝟑.𝟔   𝐂osine=𝒄𝒇    
The Cosine Ratio Remember: 𝑪𝑜𝑠𝑖𝑛𝑒𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 ->CAH  
The Cosine Ratio Remember: 𝑪𝑜𝑠𝑖𝑛𝑒𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 ->CAH  
The Cosine Ratio Remember: 𝑪𝑜𝑠𝑖𝑛𝑒𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 ->CAH  
The Cosine Ratio Remember: 𝑪𝑜𝑠𝑖𝑛𝑒𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 ->CAH  
The Cosine Ratio Remember: 𝑪𝑜𝑠𝑖𝑛𝑒𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 ->CAH  
The Cosine Ratio Remember: 𝑪𝑜𝑠𝑖𝑛𝑒𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 ->CAH  
The Cosine Ratio Remember: 𝑪𝑜𝑠𝑖𝑛𝑒𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 ->CAH  

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Trig 1 lesson 4 cosine

  • 1. Defining the sine, cosine and tangent ratios for angles in right-angled trianglesPart 2 - Cosine
  • 4. The Cosine Ratio The Cosine of an angle is defined as the ratio between the Adjacent and the Hypotenuse
  • 5. The Cosine Ratio The Cosine of an angle is defined as the ratio between the Adjacent and the Hypotenuse 𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒  
  • 6. The Cosine Ratio The Cosine of an angle is defined as the ratio between the Adjacent and the Hypotenuse 𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒  
  • 7. The Cosine Ratio The Cosine of an angle is defined as the ratio between the Adjacent and the Hypotenuse 𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒  
  • 8. The Cosine Ratio The Cosine of an angle is defined as the ratio between the Adjacent and the Hypotenuse 𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒  
  • 9. The Cosine Ratio The Cosine of an angle is defined as the ratio between the Adjacent and the Hypotenuse 𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒  
  • 10. The Cosine Ratio The Cosine of an angle is defined as the ratio between the Adjacent and the Hypotenuse 𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒   Remember:
  • 11. The Cosine Ratio The Cosine of an angle is defined as the ratio between the Adjacent and the Hypotenuse 𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒   Remember:
  • 12. The Cosine Ratio The Cosine of an angle is defined as the ratio between the Adjacent and the Hypotenuse 𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒   C Remember:
  • 13. The Cosine Ratio The Cosine of an angle is defined as the ratio between the Adjacent and the Hypotenuse 𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒   C Remember:
  • 14. The Cosine Ratio The Cosine of an angle is defined as the ratio between the Adjacent and the Hypotenuse 𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒   CA Remember:
  • 15. The Cosine Ratio The Cosine of an angle is defined as the ratio between the Adjacent and the Hypotenuse 𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒   CA Remember:
  • 16. The Cosine Ratio The Cosine of an angle is defined as the ratio between the Adjacent and the Hypotenuse 𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒   CAH Remember:
  • 17. The Cosine Ratio Remember: CAH
  • 18. The Cosine Ratio Remember: CAH
  • 19. The Cosine Ratio Remember: CAH cosine of 𝜃 is equal to 𝑎𝑑𝑗h𝑦𝑝=𝐪𝐫=7.038.21  
  • 20. The Cosine Ratio Remember: CAH cosine of 𝜃 is equal to 𝑎𝑑𝑗h𝑦𝑝=𝐪𝐫=7.038.21  
  • 21. The Cosine Ratio Remember: CAH cosine of 𝜃is equal to𝑎𝑑𝑗h𝑦𝑝=𝐪𝐫=7.038.21  
  • 22. The Cosine Ratio Remember: CAH cosine of 𝜃is equal to𝑎𝑑𝑗h𝑦𝑝=𝐪𝐫=7.038.21   Adjacent
  • 23. The Cosine Ratio Remember: CAH cosine of 𝜃is equal to𝒂𝒅𝒋h𝑦𝑝=𝐪𝐫=7.038.21   Adjacent
  • 24. The Cosine Ratio Remember: CAH cosine of 𝜃is equal to𝒂𝒅𝒋h𝑦𝑝=𝐪𝐫=7.038.21   Adjacent
  • 25. The Cosine Ratio Remember: CAH cosine of 𝜃is equal to𝒂𝒅𝒋𝒉𝒚𝒑=𝐪𝐫=7.038.21   Adjacent
  • 26. The Cosine Ratio Remember: CAH cosine of 𝜃is equal to𝒂𝒅𝒋𝒉𝒚𝒑=𝐪𝐫=7.038.21   Hypotenuse Adjacent
  • 27. The Cosine Ratio Remember: CAH cosine of 𝜃is equal to𝒂𝒅𝒋𝒉𝒚𝒑=𝐪𝐫=7.038.21   Hypotenuse Adjacent
  • 28. The Cosine Ratio Remember: CAH cosine of 𝜃is equal to𝒂𝒅𝒋𝒉𝒚𝒑=𝐪𝐫=7.038.21   Hypotenuse Adjacent
  • 29. The Cosine Ratio Remember: CAH cosine of 𝜃is equal to𝒂𝒅𝒋𝒉𝒚𝒑=𝐪𝐫=7.038.21   Hypotenuse Adjacent
  • 30. The Cosine Ratio Remember: CAH cosine of 𝜃is equal to𝒂𝒅𝒋𝒉𝒚𝒑=𝐪𝐫=𝟔𝟐.𝟏8.21   Hypotenuse Adjacent
  • 31. The Cosine Ratio Remember: CAH cosine of 𝜃is equal to𝒂𝒅𝒋𝒉𝒚𝒑=𝐪𝐫=𝟔𝟐.𝟏𝟔𝟕.𝟐   Hypotenuse Adjacent
  • 32. The Cosine Ratio Remember: CAH cosine of 𝜃is equal to𝒂𝒅𝒋𝒉𝒚𝒑=𝐪𝐫=𝟔𝟐.𝟏𝟔𝟕.𝟐   Hypotenuse Adjacent
  • 33. The Cosine Ratio 𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒  
  • 34. The Cosine Ratio  𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒  
  • 35. The Cosine Ratio  𝐂osine𝜃=𝑨𝑯   𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒  
  • 36. The Cosine Ratio  𝐂osine=𝑨𝑯   𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒  
  • 37. The Cosine Ratio  𝐂osine=𝑨𝑯   𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒  
  • 38. The Cosine Ratio  𝐂osine=𝟏𝟗.𝟏𝑯   𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒  
  • 39. The Cosine Ratio  𝐂osine=𝟏𝟗.𝟏𝑯   𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒  
  • 40. The Cosine Ratio  𝐂osine=𝟏𝟗.𝟏𝒇   𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒  
  • 41. The Cosine Ratio  𝐂osine=𝟏𝟗.𝟏𝒇   𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒  
  • 42. The Cosine Ratio  𝐂osine=𝟏𝟗.𝟏𝒇   𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒   
  • 43. The Cosine Ratio  𝐂osine=𝟏𝟗.𝟏𝒇   𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒   𝐂osine𝜃=𝑨𝑯   
  • 44. The Cosine Ratio  𝐂osine=𝟏𝟗.𝟏𝒇   𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒   𝐂osine=𝑨𝑯   
  • 45. The Cosine Ratio  𝐂osine=𝟏𝟗.𝟏𝒇   𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒   𝐂osine=𝑨𝑯   
  • 46. The Cosine Ratio  𝐂osine=𝟏𝟗.𝟏𝒇   𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒   𝐂osine=𝒄𝑯   
  • 47. The Cosine Ratio  𝐂osine=𝟏𝟗.𝟏𝒇   𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒   𝐂osine=𝒄𝑯   
  • 48. The Cosine Ratio  𝐂osine=𝟏𝟗.𝟏𝒇   𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒   𝐂osine=𝒄𝒇   
  • 49. The Cosine Ratio  𝐂osine=𝟏𝟗.𝟏𝒇   𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒   𝐂osine=𝒄𝒇   
  • 50. The Cosine Ratio  𝐂osine=𝟏𝟗.𝟏𝒇   𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒   𝐂osine=𝒄𝒇    
  • 51. The Cosine Ratio  𝐂osine𝜃=𝟏𝟗.𝟏𝒇   𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒   𝐂osine𝜃=𝑨𝑯   𝐂osine=𝒄𝒇    
  • 52. The Cosine Ratio  𝐂osine=𝟏𝟗.𝟏𝒇   𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒   𝐂osine=𝑨𝑯   𝐂osine=𝒄𝒇    
  • 53. The Cosine Ratio  𝐂osine=𝟏𝟗.𝟏𝒇   𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒   𝐂osine=𝑨𝑯   𝐂osine=𝒄𝒇    
  • 54. The Cosine Ratio  𝐂osine=𝟏𝟗.𝟏𝒇   𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒   𝐂osine=𝒄𝑯   𝐂osine=𝒄𝒇    
  • 55. The Cosine Ratio  𝐂osine=𝟏𝟗.𝟏𝒇   𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒   𝐂osine=𝒄𝑯   𝐂osine=𝒄𝒇    
  • 56. The Cosine Ratio  𝐂osine=𝟏𝟗.𝟏𝒇   𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒   𝐂osine=𝒄𝟐𝟑.𝟔   𝐂osine=𝒄𝒇    
  • 57. The Cosine Ratio  𝐂osine=𝟏𝟗.𝟏𝒇   𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒   𝐂osine=𝒄𝟐𝟑.𝟔   𝐂osine=𝒄𝒇    
  • 58. The Cosine Ratio   𝐂osine=𝟏𝟗.𝟏𝒇   𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒   𝐂osine=𝒄𝟐𝟑.𝟔   𝐂osine=𝒄𝒇    
  • 59. The Cosine Ratio   𝐂osine𝜃=𝑨𝑯   𝐂osine=𝟏𝟗.𝟏𝒇   𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒   𝐂osine=𝒄𝟐𝟑.𝟔   𝐂osine=𝒄𝒇    
  • 60. The Cosine Ratio   𝐂osine𝛉=𝑨𝑯   𝐂osine=𝟏𝟗.𝟏𝒇   𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒   𝐂osine=𝒄𝟐𝟑.𝟔   𝐂osine=𝒄𝒇    
  • 61. The Cosine Ratio   𝐂osine𝛉=𝑨𝑯   𝐂osine=𝟏𝟗.𝟏𝒇   𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒   𝐂osine=𝒄𝟐𝟑.𝟔   𝐂osine=𝒄𝒇    
  • 62. The Cosine Ratio   𝐂osine𝛉=𝟑𝟐.𝟗𝑯   𝐂osine=𝟏𝟗.𝟏𝒇   𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒   𝐂osine=𝒄𝟐𝟑.𝟔   𝐂osine=𝒄𝒇    
  • 63. The Cosine Ratio   𝐂osine𝛉=𝟑𝟐.𝟗𝑯   𝐂osine=𝟏𝟗.𝟏𝒇   𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒   𝐂osine=𝒄𝟐𝟑.𝟔   𝐂osine=𝒄𝒇    
  • 64. The Cosine Ratio   𝐂osine𝛉=𝟑𝟐.𝟗𝟏𝟓𝟏   𝐂osine=𝟏𝟗.𝟏𝒇   𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒   𝐂osine=𝒄𝟐𝟑.𝟔   𝐂osine=𝒄𝒇    
  • 65. The Cosine Ratio   𝐂osine𝛉=𝟑𝟐.𝟗𝟏𝟓𝟏   𝐂osine=𝟏𝟗.𝟏𝒇   𝐂osine𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒   𝐂osine=𝒄𝟐𝟑.𝟔   𝐂osine=𝒄𝒇    
  • 66. The Cosine Ratio Remember: 𝑪𝑜𝑠𝑖𝑛𝑒𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 ->CAH  
  • 67. The Cosine Ratio Remember: 𝑪𝑜𝑠𝑖𝑛𝑒𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 ->CAH  
  • 68. The Cosine Ratio Remember: 𝑪𝑜𝑠𝑖𝑛𝑒𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 ->CAH  
  • 69. The Cosine Ratio Remember: 𝑪𝑜𝑠𝑖𝑛𝑒𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 ->CAH  
  • 70. The Cosine Ratio Remember: 𝑪𝑜𝑠𝑖𝑛𝑒𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 ->CAH  
  • 71. The Cosine Ratio Remember: 𝑪𝑜𝑠𝑖𝑛𝑒𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 ->CAH  
  • 72. The Cosine Ratio Remember: 𝑪𝑜𝑠𝑖𝑛𝑒𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 ->CAH