# Trigonometric Equation

We extensively use of the graphs of the functions sine, cosine and tangent in order to solve these equations.  In trigonometric equations, a number of angles and their trigonometric ratios are used frequently. A list of these angles and their sines, cosines, and tangents are given below.

 — $\displaystyle 0$ $\displaystyle 0$ $\displaystyle \frac{\pi}{6}$ $\displaystyle \frac{\pi}{6}$ $\displaystyle \frac{\pi }{4}$ $\displaystyle \frac{\pi }{4}$ $\displaystyle \frac{\pi }{3}$ $\displaystyle \frac{\pi }{3}$ $\displaystyle \frac{\pi }{2}$ $\displaystyle \frac{\pi }{2}$ — $\displaystyle {{0}^{\circ }}$ $\displaystyle {{0}^{\circ }}$ $\displaystyle {{30}^{\circ }}$ $\displaystyle {{30}^{\circ }}$ $\displaystyle {{45}^{\circ }}$ $\displaystyle {{45}^{\circ }}$ $\displaystyle {{60}^{\circ }}$ $\displaystyle {{60}^{\circ }}$ $\displaystyle {{90}^{\circ }}$ $\displaystyle {{90}^{\circ }}$ $\displaystyle \sin$ $\displaystyle \sin$ $\displaystyle 0$ $\displaystyle 0$ $\displaystyle \frac{1}{2}$ $\displaystyle \frac{1}{2}$ $\displaystyle \frac{1}{{\sqrt{2}}}$ $\displaystyle \frac{1}{{\sqrt{2}}}$ $\displaystyle \frac{{\sqrt{3}}}{2}$ $\displaystyle \frac{{\sqrt{3}}}{2}$ $\displaystyle 1$ $\displaystyle 1$ $\displaystyle \cos$ $\displaystyle \cos$ $\displaystyle 1$ $\displaystyle 1$ $\displaystyle \frac{{\sqrt{3}}}{2}$ $\displaystyle \frac{{\sqrt{3}}}{2}$ $\displaystyle \frac{1}{{\sqrt{2}}}$ $\displaystyle \frac{1}{{\sqrt{2}}}$ $\displaystyle \frac{1}{2}$ $\displaystyle \frac{1}{2}$ $\displaystyle {{0}^{\circ }}$ $\displaystyle {{0}^{\circ }}$ $\displaystyle \tan$ $\displaystyle \tan$ $\displaystyle {{0}^{\circ }}$ $\displaystyle {{0}^{\circ }}$ $\displaystyle \frac{1}{{\sqrt{3}}}$ $\displaystyle \frac{1}{{\sqrt{3}}}$ $\displaystyle 1$ $\displaystyle 1$ $\displaystyle \sqrt{3}$ $\displaystyle \sqrt{3}$ $\displaystyle \infty$ $\displaystyle \infty$