Trigonometric Identities

This is what I learned about identities:
-An identity is an equality that evaluates as true for any value of input.
-Trig equations that are not identities are called conditional equations
-Graphing is not adequate to prove "identity-ness", however, graphing is enough to disprove it

Basic Indentities are:
csc (x)= 1/sin(x)

sec (x)= 1/cos(x)

cot (x)= 1/tan(x)

tan (x)= sin(x)/cos(x)

cot (x)= cos(x)/sin(x)

Simplification Techniques to Assist Proving are:
1. Reduce complicated side to try to match the simpler side
2. Work each side independantly to some intermediate expression
3. Do addition/subtraction of the rational expressions
4. Do multiplication/division of the same rational expression
5. Simplify GCF's always
6. Factor! Factor! Factor!
7. Try multiplying both numerator/denominator by the same expression (to get known identities)
8. If possible, rewrite all trig functions as sin (x) or cos (x), look for patterns