How to Solve Using Trigonometric Identities

Relax, these are the easy ones...

Reciprocal identities are the easiest identities to remember and use. Reciprocal Identities define the relationship between the "simple" functions (sin, cos, tan) and the "complicated" functions (sec, csc, cot). As we learned about the Unit Circle (I know, it never goes away, but these at least take away the name for a bit) we learned that sec=1/X, csc=1/Y, and cot=X/Y. Again, we are just plugging in the names of the functions that equal X or Y. Simple, easy, and it takes out the name "coordinates on the Unit Circle." They rock. So take a look and remember, these aren't that complicated:

Sin(X)=1/Csc(X)
Cos(X)=1/Sec(X)
Tan(X)=1/Cot(X)
Csc(X)=1/Sin(X)
Sec(X)=1/Cos(X)
Cot(X)=1/Tan(X)