Find θ to four significant digits for 0 < θ< 2 pi if cos θ= 0.6725

First, we need to solve for θ:
[tex]\cos\theta=0.6725[/tex][tex]\theta=\cos^{-1}(0.6725)[/tex][tex]\theta=0.8332147[/tex]But, since the cosine is a function that takes the same values every 3π/2, if we add this to the solution:
[tex]\theta_2=0.8332147+\frac{3\pi}{2}\approx5.5456[/tex]Thus, the two solutions are:
[tex]\theta=0.8332,5.5456[/tex]