2. Trigonometry of a Right Triangle Geometry Mr. Belanger

3. Parts of a Right Triangle  Theta (angle measure) Opposite Adjacent Hypotenuse Always longest side (opposite from right angle) All the way on other side of triangle Leg next to reference angle

4. Parts of a Right Triangle A B C 40 What side is adjacent, opposite and hypotenuse for given theta?

5. SIN SIN (  )=

6. COS COS (  ) =

7. TAN TAN (  ) =

8. Matching Sides SIN= COS = TAN = 

9. Mnemonic Device S O H C A H T O A ININ PPOSITEPPOSITE YPOTENUSEYPOTENUSE OSOS DJACENTDJACENT YPOTENUSEYPOTENUSE ANAN PPOSITEPPOSITE DJACENTDJACENT

10. Examples: FIND X SIN (45) = X/400 400 SIN (45) = X 282.8 miles = X

11. Examples: 56 How far is ladder from wall? P Another Way??? Or find other angle and use another relationship.

12. Examples:  Find  COS (  ) = 8/10 Use COS -1 (8/10) = 36.9