Function Values of Special Angles

A step-by-step guide to function values of special angles

Trigonometry deals with the relationship between the sides of a triangle (right triangle) and its angles. Trigonometric value is a collective term for the values of various ratios such as \(sin\), \(cos\), \(tan\), \(sec\), \(cot\), and \(csc\).

All trigonometric ratios are related to the sides of a right triangle and their values are obtained using the following ratios.

The values of trigonometric ratios for angles of \(0°, 30°, 45°, 60°,\) and \(90°\) are usually used to solve trigonometric problems. These values are related to measuring the lengths and angles of a right triangle. Therefore, \(0°, 30°, 45°, 60°\), and \(90°\) are called standard angles in trigonometry. It is best to remember the exact values of trigonometric ratios for these standard angles. The following table presents the values of trigonometric ratios.