Basic Trigonometric Ratios
Exact values of the trigonometric ratios
- For the angles \(30^{\circ}\), \(45^{\circ}\) and \(60^{\circ}\) we can find the exact values for the trigonometric ratios.
- These ratios are given in the Table below:
| \(\theta\) | \(30^{\circ}\) | \(45^{\circ}\) | \(60^{\circ}\) |
| \( \sin\theta \) |
\( \frac{1}{2} \) |
\( \frac{1}{\sqrt{2}} \) |
\( \frac{\sqrt{3}}{2} \) |
| \( \cos\theta \) |
\( \frac{\sqrt{3}}{2} \) |
\( \frac{1}{\sqrt{2}} \) |
\( \frac{1}{2} \) |
| \( \tan\theta \) |
\( \frac{1}{\sqrt{3}} \) |
\( 1 \) |
\( \sqrt{3} \) |
Using these triangles assists in remembering these ratios.
