The final set of identities is the set of
quotient identities , which define relationships among certain trigonometric functions and can be very helpful in verifying other identities. See
[link] .
Quotient Identities
The reciprocal and quotient identities are derived from the definitions of the basic trigonometric functions.
Summarizing trigonometric identities
The
Pythagorean identities are based on the properties of a right triangle.
The
even-odd identities relate the value of a trigonometric function at a given angle to the value of the function at the opposite angle.
The
reciprocal identities define reciprocals of the trigonometric functions.
The
quotient identities define the relationship among the trigonometric functions.
Graphing the equations of an identity
Graph both sides of the identity
In other words, on the graphing calculator, graph
and
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