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