1. Trigonometric Ratios
The legend of Chief Sohcahtoa

2. Trigonometric Ratios 3 basic types of trigonometric ratios are:
Sine (sin)
Cosine (cos)
Tangent (tan)

3. SOH CAH TOA S O H C A T
ine
pposite
ypotenuse
osine
djacent
angent

4. Trigonometric Ratios
Let ∆ABC be a right triangle. The sine, cosine, and the tangent of the acute angle A are defined as follows:

5. Example
Find the following trigonometric ratio.

6. Solve for the Missing Side of The 
S C T
Remember
O A O H H A 7
Solve for x
27°
Which side are we looking for? a o h x
Which side do we have? a o h
Since Cos uses “a” and “h”, we are going to use the Cos function
7 x
Cos27=
 x7.86
(cos27) (x) = Cross Multiply
PS.  means approx equal

7. Indirect Measurement To measure the height of the tree, you
figure out the angle from the ground to
The top of the tree. You then measure
45 feet from the base to form a right
Triangle. You can then figure the
Height of the tree.

8. h 25

9. Trigger These Out! Quiz: Page 648 # 2, 4, 6, 16, 20
Homework: # 3, 5, 15, 17, 19