I think that trig identities are equations that take the sin, cos, tan, cot, sec, and csc functions and arranges them into equations using variables, constants, and powers to demonstrate that some variations of these functions are equal to other variations.
And identity is an equation that always works no matter what your input is.
Identity - and equality, trigonometric in this case, that evaluates as TRUE for any value of input; that is both sides of the trig-equations are true for ALL possible variables.
Trig equations that are not identities are conditional equations.
You cannot prove "indentityness" with a graph, but graphs are adequate for disproving it. I suppose what you see is equal, but elsewhere on the graph, there will be places where the the equations aren't if they're not identities.
This was the most interesting class thus far.
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