Trigonometry Identity Solve - Cot/Csc Pythagorean Identity - Direct (Identity Shown)

Question

Solve the trigonometric equation for x in the given domain.

$$\begin{gathered} \csc^2(x) = 4 \ 	ext{for } 0 \le x < 2\pi \ ule{14em}{0.4pt} \ 	ext{using } 1 + \cot^2(x) = \csc^2(x) \end{gathered}$$

Accepted Answer

$$x = \frac{\pi}{6} 	ext{ or } x = \frac{5\pi}{6} 	ext{ or } x = \frac{7\pi}{6} 	ext{ or } x = \frac{11\pi}{6}$$

Answer

$$x = \frac{\pi}{6} 	ext{ or } x = \frac{2\pi}{3} 	ext{ or } x = \frac{5\pi}{6} 	ext{ or } x = \frac{7\pi}{6} 	ext{ or } x = \frac{11\pi}{6}$$

Answer

$$x = \frac{\pi}{6}$$

Answer

$$x = \frac{\pi}{6} 	ext{ or } x = \frac{5\pi}{6} 	ext{ or } x = \frac{7\pi}{6}$$

Practice: Trigonometry Identity Solve - Cot/Csc Pythagorean Identity - Direct (Identity Shown)