Trigonometric Equations

These videos show how to find all solutions of trigonometric equation or find all solutions in a given interval.

Exercises

1.

\(x = \dfrac{\pi}{4}, \dfrac{5\pi}{4}\)

2.

\(x= 0,\ \dfrac{\pi}{6},\ \dfrac{5\pi}{6},\ \pi\)

3.

\(x=\dfrac{3\pi}{2}\)

4.

\(\displaystyle x=\frac{\pi}{16},\ \frac{7\pi}{16},\ \frac{9\pi}{16},\ \frac{15\pi}{16},\ \frac{17\pi}{16},\ \frac{23\pi}{16},\ \frac{25\pi}{16},\ \frac{31\pi}{16}\)

5.

\(x=\dfrac{\pi}{2}+2n\pi,\quad\) for any integer \(n\)