Trigonometry Identity Solve - Tan/Sec Pythagorean Identity - After Algebra (Identity Shown)

Question

Solve the trigonometric equation for x in the given domain.

$$\begin{gathered} 3\sec^2(x) = 12 \ 	ext{for } 0 \le x < 2\pi \ ule{14em}{0.4pt} \ 	ext{using } 1 + 	an^2(x) = \sec^2(x) \end{gathered}$$

Accepted Answer

$$x = \frac{\pi}{3} 	ext{ or } x = \frac{2\pi}{3} 	ext{ or } x = \frac{4\pi}{3} 	ext{ or } x = \frac{5\pi}{3}$$

Answer

$$x = \frac{\pi}{3} 	ext{ or } x = \frac{2\pi}{3} 	ext{ or } x = \frac{5\pi}{6} 	ext{ or } x = \frac{4\pi}{3} 	ext{ or } x = \frac{5\pi}{3}$$

Answer

$$x = \frac{\pi}{3}$$

Answer

$$x = \frac{\pi}{3} 	ext{ or } x = \frac{2\pi}{3} 	ext{ or } x = \frac{4\pi}{3}$$