Right Angle Trigonometry 33 22 11 Pythagorean Theorem & Basic Trig Functions Reciprocal Identities & Special Values Practice Problems.

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Presentation transcript:

Right Angle Trigonometry Pythagorean Theorem & Basic Trig Functions Reciprocal Identities & Special Values Practice Problems

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

Basic Trig Functions  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 3

Nomenclature (a.k.a. weird symbols)  Common Angle Variables  Theta  Beta  Alpha  Gamma 4

5 SOH CAH TOA

Basic Trig Functions 6

Reciprocal Identities  Each Basic Trig Identity’s inverse is the definition of another identity 7

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

Warning!!!!!!!!!!!  Check your calculator settings  Make sure you are in degree mode when working with degrees and in radian mode when working with radians!!! 9

Using This Stuff 10

Using This Stuff (Cont.) 11

Another Example 12