You should study mainly inverse trigonometric functions.
The chapter involving inverse trigonometric functions should cover the following topics: definition, domain, range and elementary properties of inverse trigonometric functions, graphs of inverse trigonometric functions.
You should also need to know the basic formulas of trigonometry, such that: sin `2alpha` , cos `2alpha` , tan `2alpha` , sin `3alpha` , cos `3alpha` .
You should remember the transformations of sums of like trigonometric functions in products such that:
`sin A + sin B = 2sin ((A+B)/2)* cos ((A-B)/2)`
`sin A- sin B =2cos ((A+B)/2)*sin ((A-B)/2)` ``
`cosA +cos B = 2cos ((A+B)/2)* cos ((A-B)/2)`
`cosA-cos B = -2sin ((A+B)/2)*sin ((A-B)/2)`
Hi there! It is hard to nail down with complete certainty exactly what you will be covering in your course, as that is largely dependent upon the course you're in and/or the state in which you live. Nonetheless, there is a fair amount of consistency throughout different courses.
On average, a senior level study of trigonometric functions will include the following topics:
-General forms of trigonometric functions
-Understanding amplitude, period and phase shift (transformations)
-Graphing a periodic/trigonometric function
-Inverse trigonometric functions
-Applications of trigonometric functions
That will likely be the core of it. Depending on your course and your teacher, this could also potentially include half-angle formulas, double-angle formulas, and trigonometric identities.