1. Right Triangle Trigonometry Ratios 12.1

2. Must label the sides B A C From the marked angle… Hypotenuse- across from the right angle Adjacent – next to the marked angle Opposite – across from the marked angle

3. Right triangle trig ratios: x is an acute angle Sin x = length of opposite side = o Sin x = length of opposite side = o length of hypotenuse h length of hypotenuse h  Cos x = length of adjacent side = a length of hypotenuse h length of hypotenuse h  Tan x = length of opposite side = o length of adjacent side a length of adjacent side a

4. Remember it this way: SOH CAH TOA A B C Find sinC hypotenuse 2 nd Label the triangle, opposite, adjacent, hypotenuse opposite adjacent 1 st Mark the angle given 5 12 13 3 rd Use your trig ratios: so

5. Try these: C A T 1.Sin C = 2.Cos C = 3.Tan C = 86 10 Write your answers as fractions and simplify to decimals 4.Sin A = 5.Cos A = 6.Tan A =

6. Find sinA, cosA, tanA A 12 9 C B Oh no – what is missing?

7. In-Class Work p. 625 #7-9, on number 8 write your answers as both fractions and decimals p. 625 #7-9, on number 8 write your answers as both fractions and decimals