Trigonometric Equations

$n\pi+\dfrac{\pi}{4}$

$n\pi-\dfrac{\pi}{4}$

$n\pi\pm\dfrac{\pi}{4}$

$2n\pi\pm\dfrac{\pi}{4}$

$\dfrac{-3\pi}{4}$

$\dfrac{5\pi}{4}$

$\dfrac{\pi}{4}$

$\dfrac{7\pi}{4}$

$\dfrac{\pi}{6},\dfrac{5\pi}{6}$

$\dfrac{\pi}{3},\dfrac{2\pi}{3}$

$\dfrac{\pi}{4},\dfrac{\pi}{2}$

$\dfrac{\pi}{6},\dfrac{\pi}{2}$

$\dfrac{2\pi}{3}$

$\dfrac{\pi}{3}$

$\dfrac{4\pi}{3}$

$\dfrac{-2\pi}{3}$

$\dfrac{\pi}{6}$

$\dfrac{5 \pi}{6}$

$\dfrac{7 \pi}{6}$

$\dfrac{11 \pi}{6}$

$\dfrac{\pi}{6}, \dfrac{5 \pi}{6}$

$\dfrac{5 \pi}{6}, \dfrac{7 \pi}{6}$

$\dfrac{7 \pi}{6}, \dfrac{11 \pi}{6}$

$\dfrac{\pi}{6}, \dfrac{11 \pi}{6}$

$\dfrac{\pi}{6}$

$\dfrac{\pi}{4}$

$\dfrac{\pi}{3}$

$\dfrac{\pi}{2}$

$\dfrac{-\pi}{3}, \dfrac{2 \pi}{3}$

$\dfrac{2 \pi}{3}, \dfrac{5 \pi}{3}$

$\dfrac{2 \pi}{3}, \dfrac{4 \pi}{3}$

$\dfrac{2 \pi}{3}, \dfrac{7 \pi}{3}$

1

-1

0

4

$\dfrac{7\pi}{9},\dfrac{11\pi}{8}$

$\dfrac{9\pi}{8},\dfrac{13\pi}{8}$

$\dfrac{11\pi}{8},\dfrac{15\pi}{8}$

$\dfrac{15\pi}{8},\dfrac{19\pi}{8}$

$\dfrac{2 n \pi}{7}, n \in Z$

$\dfrac{2 n \pi}{5}, n \in Z$

$n \pi, n \in Z$

$\dfrac{4 n \pi}{3}, n \in Z$

$\theta=2 n \pi-\dfrac{\pi}{2}$ or $\theta=2 n \pi, n \in Z$

$\theta=n \pi-\dfrac{\pi}{2}$ or $\theta=n \pi, n \in Z$

$\theta=n \dfrac{\pi}{2}-\pi$ or $\theta=n \dfrac{\pi}{2}, n \in Z$

$\theta=2 n \pi+\dfrac{\pi}{2}$ or $\theta=n \pi, n \in Z$

$\theta=n \pi \pm \dfrac{\pi}{6}, n \in Z$

$\theta=n \pi \pm \dfrac{\pi}{3}, n \in Z$

$\theta=n \pi \pm \dfrac{\pi}{4}, n \in Z$

$\theta=n \pi \pm \dfrac{\pi}{8}, n \in Z$

$\mathrm{P} \subset \mathrm{Q}$ and $\mathrm{Q}-\mathrm{P} \neq \phi$

$\mathrm{Q} \not \subset \mathrm{P}$

$P \varnothing$

$\mathrm{P}=\mathrm{Q}$

$\dfrac{\pi}{6}$

$\quad \dfrac{7 \pi}{6}$

$\dfrac{5 \pi}{6}$

$\dfrac{11 \pi}{6}$