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Take 2 minutes to write down the properties you know about this shape and be prepared to share with the class. 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. SohCahToa • S= Sine=Sin • o= Opposite • h= Hypotenuse • C= Cosine=Cos • a= Adjacent • h= Hypotenuse • T= Tangent=Tan • o= Opposite • a= Adjacent •The opposite side is always away from the angle •The hypotenuse is always the longest side •The opposite side is always away from the angle •The hypotenuse is always the longest side Hypotenuse Adjacent Opposite Hypotenuse Opposite Adjacent Hypotenuse Opposite Adjacent Adjacent Opposite Hypotenuse Soh • The_____ First small letter divided by the________ Second small letter Opposite _________ Sin= Hypotenuse Sinθ= 3 ____ 5 3 5 Sinθ= 6 ________ 13 6 13 11 ________ Sinθ= 22 22 9 Cah • The_____ First small letter divided by the________ Second small letter Adjacent _________ Cos= Hypotenuse 5 Cosθ= 4 ____ 5 4 18 Cosθ= 12 ________ 18 12 7 ________ Cosθ= 19 19 7 Toa • The_____ First small letter divided by the________ Second small letter Opposite _________ Tan= Adjacent Tanθ= 3 ____ 4 3 4 Tanθ= 7 ________ 6 Tanθ= 7 6 8 ________ 7 7 8 1. Using ∠X, label the sides: opposite, adjacent, hypotenuse. 2. In fractional terms find: sin X = cos X = tan X = 1. Using ∠X, label the sides: opposite, adjacent, hypotenuse. 2. In fractional terms find: sin X = cos X = tan X = 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 = 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 • http://www.mathwarehouse.com/trigonomet ry/activitiesworksheets/SOHCAHTOA_worksheet_lesson.p df • http://www.geogebra.org/en/upload/files/en glish/RGemberling/lsn12.html