Section 5.1
Fundamental Identities
Even/Odd Identities OR Negative Angle Identities
EVEN FUNCTIONS
A function is even if
for all x in the
domain of x. The graphs of even functions are
symmetric about the y-axis.
ODD FUNCTIONS
A function is odd if
origin.
for all x in the domain of x. The graphs of odd functions are symmetric about the
Example:
a) If
b) Find
c) Find
, then
Fundamental Identities
MEMORIZE!!
Reciprocal Identities
Quotient Identities
Pythagorean Identities
Alternative Forms of the Pythagorean Identities
=
Negative Angle Identities
Concept Review
Multiplying
a)
c)
b)
d)
Factoring
a)
b)
c)
d)
e)
Adding/Subtracting Fractions
a)
b)
Simplifying a Complex Fraction
a)
c)
b)
Example: Write each expression in terms of sine and cosine, and simplify so that no quotients appear in the final
expression and all functions are of only.
a)
c)
e)
b)
d)
f)