1. Trigonometry Review

2. Right Triangle Trigonometry
Angles are often represented by Greek letters:
a alpha b beta  gamma
 theta  phi d delta R x y
Pythagorean theorem
The square of the hypotenuse is equal to the sum of the squares of the other two sides.

3. Right Triangle Trigonometry
hyp
adj
opp q
The sine value of a right triangle is equal to the ratio of the length of the side opposite the angle to the length of the hypotenuse of the triangle.
The cosine value of a right triangle is equal to the ratio of the length of the side adjacent to the angle to the length of the hypotenuse of the triangle.
The tangent value of a right triangle is equal to the ratio of the length of the side opposite the angle to the side adjacent to the angle.

4. R = 20 m is hypotenuse. Thus, Pythagoras’ Theorem:
Example 5: What is the distance x across the lake, and what is the angle q?
R = 20 m is hypotenuse. Thus, Pythagoras’ Theorem: x
20 m
12 m q
x = 16 m
q = 53.10

5. Trigonometry Review You are expected to know the following:
y = R sin q y x R q
x = R cos q
R2 = x2 + y2