Trigonometry Identity Solve - Tangent Double-Angle Identity - Direct (Identity Shown)

Question

Solve the trigonometric equation for x in the given domain.

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

Accepted Answer

$$x = \frac{\pi}{3} 	ext{ or } x = \frac{5\pi}{6} 	ext{ or } x = \frac{4\pi}{3} 	ext{ or } x = \frac{11\pi}{6}$$

Answer

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

Answer

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

Answer

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

Trigonometry Identity Solve - Tangent Double-Angle Identity - Direct (Identity Shown)

Practice:

Trigonometry Identity Solve - Tangent Double-Angle Identity - Direct (Identity Shown)