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SohCahToa

Take 2 minutes to write down the properties you know about this shape and be prepared to share with the class. SohCahToa.

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SohCahToa

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  1. Take 2 minutes to write down the properties you know about this shape and be prepared to share with the class.

  2. SohCahToa Objective: By the end of this class you should be able to identify the sides of a right triangle based on a given angle and be able to correctly set up a Sin, Cos, or Tan equation to find that angle.

  3. SohCahToa Sine=Sin • S= • o= • h= Opposite • C= • a= • h= Cosine=Cos Hypotenuse Adjacent Hypotenuse • T= • o= • a= Tangent=Tan Opposite Adjacent

  4. The opposite side is always away from the angle • The hypotenuse is always the longest side

  5. The opposite side is always away from the angle • The hypotenuse is always the longest side Hypotenuse Adjacent Opposite

  6. Hypotenuse Opposite Adjacent

  7. Hypotenuse Adjacent Opposite

  8. Adjacent Opposite Hypotenuse

  9. Soh • The_____ small letter divided by the________ small letter Sin= First Second Opposite _________ Hypotenuse 5 3 3 ____ Sinθ= 5

  10. 13 6 6 ________ Sinθ= 13 22 11 9 ________ Sinθ= 22

  11. Cah • The_____ small letter divided by the________ small letter Cos= First Second Adjacent _________ Hypotenuse 5 4 ____ Cosθ= 5 4

  12. 18 12 ________ Cosθ= 18 12 19 7 7 ________ Cosθ= 19

  13. Toa • The_____ small letter divided by the________ small letter Tan= First Second Opposite _________ Adjacent 3 3 ____ Tanθ= 4 4

  14. 7 7 ________ Tanθ= 6 6 8 7 ________ Tanθ= 7 8

  15. 1. Using ∠X, label the sides: opposite, adjacent, hypotenuse. 2. In fractional terms find: sin X =         cos X =         tan X =

  16. 1. Using ∠X, label the sides: opposite, adjacent, hypotenuse. 2. In fractional terms find: sin X =         cos X =         tan X =

  17. 1. Using ∠A, label the sides: opposite, adjacent, hypotenuse. 2. In fractional terms find: sin A =         cos A =         tan A = 3. Using ∠B, label the sides: opposite, adjacent, hypotenuse. 4. In fractional terms find: sin B =         cos B =         tan B =

  18. Three Main Principles • Opposite side is always away from the angle • The hypotenuse is always the longest side • The First small letter is divided by the second small letter

  19. http://www.mathwarehouse.com/trigonometry/activities-worksheets/SOHCAHTOA_worksheet_lesson.pdfhttp://www.mathwarehouse.com/trigonometry/activities-worksheets/SOHCAHTOA_worksheet_lesson.pdf • http://www.geogebra.org/en/upload/files/english/RGemberling/lsn12.html

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