Solve [math]4 \cos (2x – 3) + 1 = 3[/math] for all possible values of [math]x[/math].
[list=1] [*]Isolate the trigonometric function. [*]Use the appropriate inverse function to cancel out the trigonometric function. [*]Evaluate the term containing the inverse trigonometric function, making sure your answer is within the range of the function. [*]Expand the answer using your knowledge of reference angles and periodicity to find all possible solutions. [*]Solve the resulting equations for [math]x[/math]. [*]Test that your results satisfy the original equation. [/list]