Example
SEQ.T.3 : Suppose
$4* \tan(2x-1) +1 = 9$. Find $x$.
This example shows
an important visual connection between a
mapping diagram for a trigonometric function as a
composition
with core linear functions and the algebra used in solving a
trigonometric equation.
The included GeoGebra mapping diagram can be
used
to
visualize the algebra for solving equations of the form $f(x) =
A\cdot trig(Bx-C) +k = D$ with $A,B \ne 0$ and $trig = \sin, \cos$ or $\tan$.
You can use this next dynamic example to solve trigonometric equations like
those in Examples SEQ.T.1 and SEQ.T.2 visually with a mapping diagram of
$f$ and the lines in the graph of $f$.