Defining the sine, cosine and tangent ratios for angles in right-angled trianglesPart 4 – Choosing Which Ratio
Choosing the right Ratio
Choosing the Right Ratio
Choosing the Right RatioPart of the skill of trigonometry is knowing which ratio to use for any given problem.
Choosing the Right RatioPart of the skill of trigonometry is knowing which ratio to use for any given problem.Since each ratio is unique to the combination of two sides, once you know which two sides are involved in the problem, you can choose the ratio.
Choosing the Right RatioRemember:𝑺𝑖𝑛𝑒𝜃=𝑶𝑝𝑝𝑜𝑠𝑖𝑡𝑒𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 ->SOH 
Choosing the Right RatioRemember:𝑺𝑖𝑛𝑒𝜃=𝑶𝑝𝑝𝑜𝑠𝑖𝑡𝑒𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 ->SOH 𝑪𝑜𝑠𝑖𝑛𝑒𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 ->CAH 
Choosing the Right RatioRemember:𝑺𝑖𝑛𝑒𝜃=𝑶𝑝𝑝𝑜𝑠𝑖𝑡𝑒𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 ->SOH 𝑪𝑜𝑠𝑖𝑛𝑒𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 ->CAH 𝑇𝑎𝑛𝑔𝑒𝑛𝑡𝜃=𝑶𝑝𝑝𝑜𝑠𝑖𝑡𝑒𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡 ->TOA 
Choosing the Right RatioRemember:𝑺𝑖𝑛𝑒𝜃=𝑶𝑝𝑝𝑜𝑠𝑖𝑡𝑒𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 ->SOH 𝑪𝑜𝑠𝑖𝑛𝑒𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 ->CAH 𝑇𝑎𝑛𝑔𝑒𝑛𝑡𝜃=𝑶𝑝𝑝𝑜𝑠𝑖𝑡𝑒𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡 ->TOA SOH
Choosing the Right RatioRemember:𝑺𝑖𝑛𝑒𝜃=𝑶𝑝𝑝𝑜𝑠𝑖𝑡𝑒𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 ->SOH 𝑪𝑜𝑠𝑖𝑛𝑒𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 ->CAH 𝑇𝑎𝑛𝑔𝑒𝑛𝑡𝜃=𝑶𝑝𝑝𝑜𝑠𝑖𝑡𝑒𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡 ->TOA SOH CAH
Choosing the Right RatioRemember:𝑺𝑖𝑛𝑒𝜃=𝑶𝑝𝑝𝑜𝑠𝑖𝑡𝑒𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 ->SOH 𝑪𝑜𝑠𝑖𝑛𝑒𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 ->CAH 𝑇𝑎𝑛𝑔𝑒𝑛𝑡𝜃=𝑶𝑝𝑝𝑜𝑠𝑖𝑡𝑒𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡 ->TOA SOHCAH TOA
Choosing the Right RatioRemember:𝑺𝑖𝑛𝑒𝜃=𝑶𝑝𝑝𝑜𝑠𝑖𝑡𝑒𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 ->SOH 𝑪𝑜𝑠𝑖𝑛𝑒𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 ->CAH 𝑇𝑎𝑛𝑔𝑒𝑛𝑡𝜃=𝑶𝑝𝑝𝑜𝑠𝑖𝑡𝑒𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡 ->TOA SOHCAH TOA
Choosing the Right RatioRemember:𝑺𝑖𝑛𝑒𝜃=𝑶𝑝𝑝𝑜𝑠𝑖𝑡𝑒𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 ->SOH 𝑪𝑜𝑠𝑖𝑛𝑒𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 ->CAH 𝑇𝑎𝑛𝑔𝑒𝑛𝑡𝜃=𝑶𝑝𝑝𝑜𝑠𝑖𝑡𝑒𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡 ->TOA SOHCAHTOA
Choosing the Right RatioRemember:𝑺𝑖𝑛𝑒𝜃=𝑶𝑝𝑝𝑜𝑠𝑖𝑡𝑒𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 ->SOH 𝑪𝑜𝑠𝑖𝑛𝑒𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 ->CAH 𝑇𝑎𝑛𝑔𝑒𝑛𝑡𝜃=𝑶𝑝𝑝𝑜𝑠𝑖𝑡𝑒𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡 ->TOA SOHCAHTOA
Choosing the Right RatioRemember:𝑺𝑖𝑛𝑒𝜃=𝑶𝑝𝑝𝑜𝑠𝑖𝑡𝑒𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 ->SOH 𝑪𝑜𝑠𝑖𝑛𝑒𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 ->CAH 𝑇𝑎𝑛𝑔𝑒𝑛𝑡𝜃=𝑶𝑝𝑝𝑜𝑠𝑖𝑡𝑒𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡 ->TOA SOHCAH TOA
Choosing the Right RatioWe can use SOHCAHTOA as our method of remembering the three ratios
Choosing the Right RatioWe can use SOHCAHTOA as our method of remembering the three ratiosFor any triangle problem we can identify which two sides we have information for
Choosing the Right RatioWe can use SOHCAHTOA as our method of remembering the three ratiosFor any triangle problem we can identify which two sides we have information forHence, we can decide which ratio to use
Choosing the Right RatioWhen given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sides
Choosing the Right RatioWhen given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sides
Choosing the Right RatioWhen given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sides
Choosing the Right RatioWhen given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sidesH
Choosing the Right RatioWhen given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sidesH
Choosing the Right RatioWhen given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sidesOH
Choosing the Right RatioWhen given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sidesOH
Choosing the Right RatioWhen given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sidesAOH
Choosing the Right RatioWhen given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sidesNext, circle the two sides that have informationAOH
Choosing the Right RatioWhen given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sidesNext, circle the two sides that have informationAOH
Choosing the Right RatioWhen given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sidesNext, circle the two sides that have informationAOH
Choosing the Right RatioWhen given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sidesNext, circle the two sides that have informationThese two sides tell you which ratio to use, as only one ratio will contain both sides.AOH
Choosing the Right RatioWhen given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sidesNext, circle the two sides that have informationThese two sides tell you which ratio to use, as only one ratio will contain both sides.SOHCAHTOAAOH
Choosing the Right RatioWhen given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sidesNext, circle the two sides that have informationThese two sides tell you which ratio to use, as only one ratio will contain both sides.SOHCAHTOAAOH
Choosing the Right RatioWhen given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sidesNext, circle the two sides that have informationThese two sides tell you which ratio to use, as only one ratio will contain both sides.SOHCAHTOAAOH
Choosing the Right RatioWhen given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sidesNext, circle the two sides that have informationThese two sides tell you which ratio to use, as only one ratio will contain both sides.SOHCAHTOAAOH
Choosing the Right RatioWhen given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sidesNext, circle the two sides that have informationThese two sides tell you which ratio to use, as only one ratio will contain both sides.SOHCAHTOAAOH
Choosing the Right RatioWhen given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sidesNext, circle the two sides that have informationThese two sides tell you which ratio to use, as only one ratio will contain both sides.SOHCAHTOAX      XAOH
Choosing the Right RatioWhen given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sidesNext, circle the two sides that have informationThese two sides tell you which ratio to use, as only one ratio will contain both sides.SOHCAHTOAAOH
Choosing the Right RatioWhen given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sidesNext, circle the two sides that have informationThese two sides tell you which ratio to use, as only one ratio will contain both sides.SOHCAHTOAAOH
Choosing the Right RatioWhen given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sidesNext, circle the two sides that have informationThese two sides tell you which ratio to use, as only one ratio will contain both sides.T   O   AAOH
Choosing the Right RatioWhen given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sidesNext, circle the two sides that have informationThese two sides tell you which ratio to use, as only one ratio will contain both sides.Tangent= O   ATangent=𝒈𝟐𝟏.𝟔 AOH
Choosing the Right RatioWhen given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sidesNext, circle the two sides that have informationThese two sides tell you which ratio to use, as only one ratio will contain both sides.Tangent= O   ATangent=𝒈𝟐𝟏.𝟔 AOH
Choosing the Right RatioWhen given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sidesNext, circle the two sides that have informationThese two sides tell you which ratio to use, as only one ratio will contain both sides.T =Opposite  ATangent=𝒈𝟐𝟏.𝟔 AOH
Choosing the Right RatioWhen given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sidesNext, circle the two sides that have informationThese two sides tell you which ratio to use, as only one ratio will contain both sides.T = OoverATangent=𝒈𝟐𝟏.𝟔 AOH
Choosing the Right RatioWhen given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sidesNext, circle the two sides that have informationThese two sides tell you which ratio to use, as only one ratio will contain both sides.T = OAdjacentTangent=𝒈𝟐𝟏.𝟔 AOH
Choosing the Right RatioWhen given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sidesNext, circle the two sides that have informationThese two sides tell you which ratio to use, as only one ratio will contain both sides.TOATangent=𝒈𝟐𝟏.𝟔 AOH
Choosing the Right RatioWhen given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sidesNext, circle the two sides that have informationThese two sides tell you which ratio to use, as only one ratio will contain both sides.Tangent=𝒈𝟐𝟏.𝟔 AOH
Choosing the Right Ratio
Choosing the Right RatioSOHCAHTOA
Choosing the Right RatioSOHCAHTOA
Choosing the Right RatioSOHCAHTOAAOH
Choosing the Right RatioSOHCAHTOAAOH
Choosing the Right RatioSOHCAHTOAAOH
Choosing the Right RatioSOHCAHTOAAOH
Choosing the Right RatioSOHCAHTOAAOHTangent=𝒔𝒕 
Choosing the Right RatioSOHCAHTOAAOHTangent=𝒔𝒕 
Choosing the Right RatioSOHCAHTOAAOHTangent=𝒔𝒕 
Choosing the Right Ratio
Choosing the Right RatioSOHCAHTOA
Choosing the Right RatioSOHCAHTOA
Choosing the Right RatioSOHCAHTOAAHO
Choosing the Right RatioSOHCAHTOAAHO
Choosing the Right RatioSOHCAHTOAAHO
Choosing the Right RatioSOHCAHTOAAHO
Choosing the Right RatioSOHCAHTOAA𝐂osine=𝟏𝟗.𝟏𝒇 HO
Choosing the Right RatioSOHCAHTOAA𝐂osine=𝟏𝟗.𝟏𝒇 HO
Choosing the Right RatioSOHCAHTOAA𝐂osine=𝟏𝟗.𝟏𝒇 HO
Choosing the Right Ratio
Choosing the Right RatioSOHCAHTOA
Choosing the Right RatioSOHCAHTOA
Choosing the Right RatioSOHCAHTOAAHO
Choosing the Right RatioSOHCAHTOAAHO
Choosing the Right RatioSOHCAHTOAAHO
Choosing the Right RatioSOHCAHTOAAHO
Choosing the Right RatioSOHCAHTOA𝐒ine=𝟒.𝟒𝟑𝒕 AHO
Choosing the Right RatioSOHCAHTOA𝐒ine=𝟒.𝟒𝟑𝒕 AHO
Choosing the Right RatioSOHCAHTOA𝐒ine=𝟒.𝟒𝟑𝒕 AHO
Choosing the Right Ratio
Choosing the Right RatioSOHCAHTOA
Choosing the Right RatioAOHSOHCAHTOA
Choosing the Right RatioAOHSOHCAHTOA
Choosing the Right RatioAOHSOHCAHTOA𝐂osine𝛉=𝟑𝟐.𝟗𝟏𝟓𝟏 
Choosing the Right Ratio
Choosing the Right RatioSOHCAHTOA
Choosing the Right RatioSOHCAHTOAOAH
Choosing the Right RatioSOHCAHTOAOAH
Choosing the Right RatioSOHCAHTOA𝐂osine=𝒄𝟐𝟑.𝟔 OAH
Choosing the Right Ratio
Choosing the Right RatioSOHCAHTOA
Choosing the Right RatioOSOHCAHTOAHA
Choosing the Right RatioOSOHCAHTOAHA
Choosing the Right RatioOSOHCAHTOATangent=𝟑.𝟕𝟖𝒘 HA
Choosing the Right Ratio
Choosing the Right RatioSOHCAHTOA
Choosing the Right RatioSOHCAHTOAAOH
Choosing the Right RatioSOHCAHTOAAOH
Choosing the Right RatioSOHCAHTOA𝐒ine=𝒒𝟕.𝟑𝟐 AOH
Choosing the Right Ratio
Choosing the Right RatioSOHCAHTOAOHA
Choosing the Right RatioSOHCAHTOAO𝐂osine=𝒄𝒇 HA
Choosing the Right Ratio
Choosing the Right RatioOSOHCAHTOAAH
Choosing the Right RatioOSOHCAHTOA𝐒ine=𝒅𝒆 AH
Choosing the Right Ratio
Choosing the Right RatioSOHCAHTOAOHA
Choosing the Right RatioSOHCAHTOA𝐒ine𝜃=𝟒.𝟔𝟔𝟖.𝟐𝟒 OHA
Choosing the Right Ratio
Choosing the Right RatioSOHCAHTOAOAH
Choosing the Right RatioSOHCAHTOATangent=𝟒𝟗.𝟗𝟏𝟎𝟎 OAH
Choosing the Right RatioRemember:
Choosing the Right RatioRemember:Label the sides H, O and A
Choosing the Right RatioRemember:Label the sides H, O and ACircle the two sides with information
Choosing the Right RatioRemember:Label the sides H, O and ACircle the two sides with informationChoose the correct ratio

Trig 1 lesson 4 sohcahtoa

  • 1.
    Defining the sine,cosine and tangent ratios for angles in right-angled trianglesPart 4 – Choosing Which Ratio
  • 2.
  • 3.
  • 4.
    Choosing the RightRatioPart of the skill of trigonometry is knowing which ratio to use for any given problem.
  • 5.
    Choosing the RightRatioPart of the skill of trigonometry is knowing which ratio to use for any given problem.Since each ratio is unique to the combination of two sides, once you know which two sides are involved in the problem, you can choose the ratio.
  • 6.
    Choosing the RightRatioRemember:𝑺𝑖𝑛𝑒𝜃=𝑶𝑝𝑝𝑜𝑠𝑖𝑡𝑒𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 ->SOH 
  • 7.
    Choosing the RightRatioRemember:𝑺𝑖𝑛𝑒𝜃=𝑶𝑝𝑝𝑜𝑠𝑖𝑡𝑒𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 ->SOH 𝑪𝑜𝑠𝑖𝑛𝑒𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 ->CAH 
  • 8.
    Choosing the RightRatioRemember:𝑺𝑖𝑛𝑒𝜃=𝑶𝑝𝑝𝑜𝑠𝑖𝑡𝑒𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 ->SOH 𝑪𝑜𝑠𝑖𝑛𝑒𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 ->CAH 𝑇𝑎𝑛𝑔𝑒𝑛𝑡𝜃=𝑶𝑝𝑝𝑜𝑠𝑖𝑡𝑒𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡 ->TOA 
  • 9.
    Choosing the RightRatioRemember:𝑺𝑖𝑛𝑒𝜃=𝑶𝑝𝑝𝑜𝑠𝑖𝑡𝑒𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 ->SOH 𝑪𝑜𝑠𝑖𝑛𝑒𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 ->CAH 𝑇𝑎𝑛𝑔𝑒𝑛𝑡𝜃=𝑶𝑝𝑝𝑜𝑠𝑖𝑡𝑒𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡 ->TOA SOH
  • 10.
    Choosing the RightRatioRemember:𝑺𝑖𝑛𝑒𝜃=𝑶𝑝𝑝𝑜𝑠𝑖𝑡𝑒𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 ->SOH 𝑪𝑜𝑠𝑖𝑛𝑒𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 ->CAH 𝑇𝑎𝑛𝑔𝑒𝑛𝑡𝜃=𝑶𝑝𝑝𝑜𝑠𝑖𝑡𝑒𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡 ->TOA SOH CAH
  • 11.
    Choosing the RightRatioRemember:𝑺𝑖𝑛𝑒𝜃=𝑶𝑝𝑝𝑜𝑠𝑖𝑡𝑒𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 ->SOH 𝑪𝑜𝑠𝑖𝑛𝑒𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 ->CAH 𝑇𝑎𝑛𝑔𝑒𝑛𝑡𝜃=𝑶𝑝𝑝𝑜𝑠𝑖𝑡𝑒𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡 ->TOA SOHCAH TOA
  • 12.
    Choosing the RightRatioRemember:𝑺𝑖𝑛𝑒𝜃=𝑶𝑝𝑝𝑜𝑠𝑖𝑡𝑒𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 ->SOH 𝑪𝑜𝑠𝑖𝑛𝑒𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 ->CAH 𝑇𝑎𝑛𝑔𝑒𝑛𝑡𝜃=𝑶𝑝𝑝𝑜𝑠𝑖𝑡𝑒𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡 ->TOA SOHCAH TOA
  • 13.
    Choosing the RightRatioRemember:𝑺𝑖𝑛𝑒𝜃=𝑶𝑝𝑝𝑜𝑠𝑖𝑡𝑒𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 ->SOH 𝑪𝑜𝑠𝑖𝑛𝑒𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 ->CAH 𝑇𝑎𝑛𝑔𝑒𝑛𝑡𝜃=𝑶𝑝𝑝𝑜𝑠𝑖𝑡𝑒𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡 ->TOA SOHCAHTOA
  • 14.
    Choosing the RightRatioRemember:𝑺𝑖𝑛𝑒𝜃=𝑶𝑝𝑝𝑜𝑠𝑖𝑡𝑒𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 ->SOH 𝑪𝑜𝑠𝑖𝑛𝑒𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 ->CAH 𝑇𝑎𝑛𝑔𝑒𝑛𝑡𝜃=𝑶𝑝𝑝𝑜𝑠𝑖𝑡𝑒𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡 ->TOA SOHCAHTOA
  • 15.
    Choosing the RightRatioRemember:𝑺𝑖𝑛𝑒𝜃=𝑶𝑝𝑝𝑜𝑠𝑖𝑡𝑒𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 ->SOH 𝑪𝑜𝑠𝑖𝑛𝑒𝜃=𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑯𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 ->CAH 𝑇𝑎𝑛𝑔𝑒𝑛𝑡𝜃=𝑶𝑝𝑝𝑜𝑠𝑖𝑡𝑒𝑨𝑑𝑗𝑎𝑐𝑒𝑛𝑡 ->TOA SOHCAH TOA
  • 16.
    Choosing the RightRatioWe can use SOHCAHTOA as our method of remembering the three ratios
  • 17.
    Choosing the RightRatioWe can use SOHCAHTOA as our method of remembering the three ratiosFor any triangle problem we can identify which two sides we have information for
  • 18.
    Choosing the RightRatioWe can use SOHCAHTOA as our method of remembering the three ratiosFor any triangle problem we can identify which two sides we have information forHence, we can decide which ratio to use
  • 19.
    Choosing the RightRatioWhen given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sides
  • 20.
    Choosing the RightRatioWhen given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sides
  • 21.
    Choosing the RightRatioWhen given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sides
  • 22.
    Choosing the RightRatioWhen given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sidesH
  • 23.
    Choosing the RightRatioWhen given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sidesH
  • 24.
    Choosing the RightRatioWhen given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sidesOH
  • 25.
    Choosing the RightRatioWhen given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sidesOH
  • 26.
    Choosing the RightRatioWhen given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sidesAOH
  • 27.
    Choosing the RightRatioWhen given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sidesNext, circle the two sides that have informationAOH
  • 28.
    Choosing the RightRatioWhen given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sidesNext, circle the two sides that have informationAOH
  • 29.
    Choosing the RightRatioWhen given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sidesNext, circle the two sides that have informationAOH
  • 30.
    Choosing the RightRatioWhen given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sidesNext, circle the two sides that have informationThese two sides tell you which ratio to use, as only one ratio will contain both sides.AOH
  • 31.
    Choosing the RightRatioWhen given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sidesNext, circle the two sides that have informationThese two sides tell you which ratio to use, as only one ratio will contain both sides.SOHCAHTOAAOH
  • 32.
    Choosing the RightRatioWhen given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sidesNext, circle the two sides that have informationThese two sides tell you which ratio to use, as only one ratio will contain both sides.SOHCAHTOAAOH
  • 33.
    Choosing the RightRatioWhen given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sidesNext, circle the two sides that have informationThese two sides tell you which ratio to use, as only one ratio will contain both sides.SOHCAHTOAAOH
  • 34.
    Choosing the RightRatioWhen given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sidesNext, circle the two sides that have informationThese two sides tell you which ratio to use, as only one ratio will contain both sides.SOHCAHTOAAOH
  • 35.
    Choosing the RightRatioWhen given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sidesNext, circle the two sides that have informationThese two sides tell you which ratio to use, as only one ratio will contain both sides.SOHCAHTOAAOH
  • 36.
    Choosing the RightRatioWhen given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sidesNext, circle the two sides that have informationThese two sides tell you which ratio to use, as only one ratio will contain both sides.SOHCAHTOAX XAOH
  • 37.
    Choosing the RightRatioWhen given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sidesNext, circle the two sides that have informationThese two sides tell you which ratio to use, as only one ratio will contain both sides.SOHCAHTOAAOH
  • 38.
    Choosing the RightRatioWhen given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sidesNext, circle the two sides that have informationThese two sides tell you which ratio to use, as only one ratio will contain both sides.SOHCAHTOAAOH
  • 39.
    Choosing the RightRatioWhen given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sidesNext, circle the two sides that have informationThese two sides tell you which ratio to use, as only one ratio will contain both sides.T O AAOH
  • 40.
    Choosing the RightRatioWhen given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sidesNext, circle the two sides that have informationThese two sides tell you which ratio to use, as only one ratio will contain both sides.Tangent= O ATangent=𝒈𝟐𝟏.𝟔 AOH
  • 41.
    Choosing the RightRatioWhen given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sidesNext, circle the two sides that have informationThese two sides tell you which ratio to use, as only one ratio will contain both sides.Tangent= O ATangent=𝒈𝟐𝟏.𝟔 AOH
  • 42.
    Choosing the RightRatioWhen given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sidesNext, circle the two sides that have informationThese two sides tell you which ratio to use, as only one ratio will contain both sides.T =Opposite ATangent=𝒈𝟐𝟏.𝟔 AOH
  • 43.
    Choosing the RightRatioWhen given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sidesNext, circle the two sides that have informationThese two sides tell you which ratio to use, as only one ratio will contain both sides.T = OoverATangent=𝒈𝟐𝟏.𝟔 AOH
  • 44.
    Choosing the RightRatioWhen given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sidesNext, circle the two sides that have informationThese two sides tell you which ratio to use, as only one ratio will contain both sides.T = OAdjacentTangent=𝒈𝟐𝟏.𝟔 AOH
  • 45.
    Choosing the RightRatioWhen given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sidesNext, circle the two sides that have informationThese two sides tell you which ratio to use, as only one ratio will contain both sides.TOATangent=𝒈𝟐𝟏.𝟔 AOH
  • 46.
    Choosing the RightRatioWhen given a trigonometry problem, the first thing to do is to label the Hypotenuse, Opposite and Adjacent sidesNext, circle the two sides that have informationThese two sides tell you which ratio to use, as only one ratio will contain both sides.Tangent=𝒈𝟐𝟏.𝟔 AOH
  • 47.
  • 48.
    Choosing the RightRatioSOHCAHTOA
  • 49.
    Choosing the RightRatioSOHCAHTOA
  • 50.
    Choosing the RightRatioSOHCAHTOAAOH
  • 51.
    Choosing the RightRatioSOHCAHTOAAOH
  • 52.
    Choosing the RightRatioSOHCAHTOAAOH
  • 53.
    Choosing the RightRatioSOHCAHTOAAOH
  • 54.
    Choosing the RightRatioSOHCAHTOAAOHTangent=𝒔𝒕 
  • 55.
    Choosing the RightRatioSOHCAHTOAAOHTangent=𝒔𝒕 
  • 56.
    Choosing the RightRatioSOHCAHTOAAOHTangent=𝒔𝒕 
  • 57.
  • 58.
    Choosing the RightRatioSOHCAHTOA
  • 59.
    Choosing the RightRatioSOHCAHTOA
  • 60.
    Choosing the RightRatioSOHCAHTOAAHO
  • 61.
    Choosing the RightRatioSOHCAHTOAAHO
  • 62.
    Choosing the RightRatioSOHCAHTOAAHO
  • 63.
    Choosing the RightRatioSOHCAHTOAAHO
  • 64.
    Choosing the RightRatioSOHCAHTOAA𝐂osine=𝟏𝟗.𝟏𝒇 HO
  • 65.
    Choosing the RightRatioSOHCAHTOAA𝐂osine=𝟏𝟗.𝟏𝒇 HO
  • 66.
    Choosing the RightRatioSOHCAHTOAA𝐂osine=𝟏𝟗.𝟏𝒇 HO
  • 67.
  • 68.
    Choosing the RightRatioSOHCAHTOA
  • 69.
    Choosing the RightRatioSOHCAHTOA
  • 70.
    Choosing the RightRatioSOHCAHTOAAHO
  • 71.
    Choosing the RightRatioSOHCAHTOAAHO
  • 72.
    Choosing the RightRatioSOHCAHTOAAHO
  • 73.
    Choosing the RightRatioSOHCAHTOAAHO
  • 74.
    Choosing the RightRatioSOHCAHTOA𝐒ine=𝟒.𝟒𝟑𝒕 AHO
  • 75.
    Choosing the RightRatioSOHCAHTOA𝐒ine=𝟒.𝟒𝟑𝒕 AHO
  • 76.
    Choosing the RightRatioSOHCAHTOA𝐒ine=𝟒.𝟒𝟑𝒕 AHO
  • 77.
  • 78.
    Choosing the RightRatioSOHCAHTOA
  • 79.
    Choosing the RightRatioAOHSOHCAHTOA
  • 80.
    Choosing the RightRatioAOHSOHCAHTOA
  • 81.
    Choosing the RightRatioAOHSOHCAHTOA𝐂osine𝛉=𝟑𝟐.𝟗𝟏𝟓𝟏 
  • 82.
  • 83.
    Choosing the RightRatioSOHCAHTOA
  • 84.
    Choosing the RightRatioSOHCAHTOAOAH
  • 85.
    Choosing the RightRatioSOHCAHTOAOAH
  • 86.
    Choosing the RightRatioSOHCAHTOA𝐂osine=𝒄𝟐𝟑.𝟔 OAH
  • 87.
  • 88.
    Choosing the RightRatioSOHCAHTOA
  • 89.
    Choosing the RightRatioOSOHCAHTOAHA
  • 90.
    Choosing the RightRatioOSOHCAHTOAHA
  • 91.
    Choosing the RightRatioOSOHCAHTOATangent=𝟑.𝟕𝟖𝒘 HA
  • 92.
  • 93.
    Choosing the RightRatioSOHCAHTOA
  • 94.
    Choosing the RightRatioSOHCAHTOAAOH
  • 95.
    Choosing the RightRatioSOHCAHTOAAOH
  • 96.
    Choosing the RightRatioSOHCAHTOA𝐒ine=𝒒𝟕.𝟑𝟐 AOH
  • 97.
  • 98.
    Choosing the RightRatioSOHCAHTOAOHA
  • 99.
    Choosing the RightRatioSOHCAHTOAO𝐂osine=𝒄𝒇 HA
  • 100.
  • 101.
    Choosing the RightRatioOSOHCAHTOAAH
  • 102.
    Choosing the RightRatioOSOHCAHTOA𝐒ine=𝒅𝒆 AH
  • 103.
  • 104.
    Choosing the RightRatioSOHCAHTOAOHA
  • 105.
    Choosing the RightRatioSOHCAHTOA𝐒ine𝜃=𝟒.𝟔𝟔𝟖.𝟐𝟒 OHA
  • 106.
  • 107.
    Choosing the RightRatioSOHCAHTOAOAH
  • 108.
    Choosing the RightRatioSOHCAHTOATangent=𝟒𝟗.𝟗𝟏𝟎𝟎 OAH
  • 109.
    Choosing the RightRatioRemember:
  • 110.
    Choosing the RightRatioRemember:Label the sides H, O and A
  • 111.
    Choosing the RightRatioRemember:Label the sides H, O and ACircle the two sides with information
  • 112.
    Choosing the RightRatioRemember:Label the sides H, O and ACircle the two sides with informationChoose the correct ratio

Editor's Notes