Precalc +: Solving Trig Equations

Evaluating inverse trig vs Solving trig

* Evaluating inverse trig requires the restrictions to be expressed. There is only one solution
* Solving trig equations includes finding the answer and everything coterminal

Formatting of answers

* If an answer can be expressed as a single equation, make sure you synthesize it.
* When writing an answer, make sure it is included in the domain of the original equation

Solving equations with inner transformations

* Use u-substitution
* Solve the outside like normal
* Resubstitute u when you find the answer

Solving equations with outer transformations

* Isolate the trig function on one side
* Solve like normal

Solving quadratic equations

* Factoring
* Quadratic Formula
* NEVER divide by a factorS

Solving inverse trig equations

* Use u substitution
* Don’t forget restrictions
* For combinations, solve the outer function first using u substitution

Solving trig equations with a calculator

* Use inverse functions
* Be sure to include all quadrants