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= o= h= Sine=Sin Opposite Hypotenuse Cosine=Cos Hypotenuse Adjacent C= a= h= T= o= a= Adjacent Opposite Tangent=Tan

The opposite side is always away from the angle The hypotenuse is always the longest side

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

Opposite Adjacent Hypotenuse

Opposite Adjacent Hypotenuse

Opposite Adjacent Hypotenuse

Soh The_____ small letter divided by the________ small letter Sin= Opposite Hypotenuse _________ FirstSecond 5 3 Sinθ= ____ 3 5

Sinθ= ________

Cah The_____ small letter divided by the________ small letter Cos= Adjacent Hypotenuse _________ FirstSecond 5 4 Cosθ= ____ 4 5

Cosθ= ________

Toa The_____ small letter divided by the________ small letter Tan= Opposite Adjacent _________ FirstSecond 3 Tanθ= ____ 3 4 4

Tanθ= ________

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

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