Right Angle Trigonometry

1 Pythagorean Theorem & Basic Trig Functions 2 Reciprocal Identities & Special Values 3 Practice Problems

Pythagorean Theorem

2

 Used on Right Triangles only  a 2 + b 2 = c 2  Alternate forms:

a



c

2 

b

2

b



c



c

2 

a

2

a

2 

b

2

Basic Trig Functions

3

 Uses Right Triangle defined in terms of Adjacent, Opposite and Hypotenuse  Hypotenuse is always the longest side  Opposite and Adjacent are relative to the angle

Nomenclature (a.k.a. weird symbols)

4

 Common Angle Variables  Theta   Beta   Alpha  Gamma  

5 SOH CAH TOA

6

Basic Trig Functions

Reciprocal Identities

7

 Each Basic Trig Identity’s inverse is the definition of another identity

Special Values

8 Q (radians) Q (degrees) sin Q cos Q tan Q cot Q sec Q csc Q

Warning!!!!!!!!!!!

9

 Check your calculator settings  Make sure you are in

degree mode

when working with degrees and in

radian mode

when working with radians !!!

10

Using This Stuff

11

Using This Stuff (Cont.)

12

Another Example tan( 30  )  3 3