- #1

- 65

- 2

[tex]\theta=\Big\{sin^{-1}(\frac{1}{2})+2\pi k\Big\}\; and \; \Big\{\pi-sin^{-1}(\frac{1}{2})+2\pi k\Big\}[/tex]

Whereas the book simplified it to

[tex]\theta=\pm\frac{\pi}{6}+\pi k[/tex]

Obviously these answers encompass the same set of values, with the book's answer being much simpler. How would one simplify my answer into the book's form?