Negative Trigonometric Ratios Chart
The below negative trigonometric ratios chart helps you to find the sin, cos, tan, csc, sec and cot trigonometric values of negative angles. In general, sin (-θ) is equal to -sin θ. The same rule is applied for all trigonometric ratios (sin, cos, tan, csc, cot, sec). The above rule is applied to find the trigonometric ratio values of negative angles. The trigonometry table given here is in sexagesimal system which means the angles are expressed in degrees.
Trigonometric Values of Negative Angles
Negative Sin Cos Tan Chart
| α | -0° | -30° | -45° | -60° | -90° | -120° | -180° | -225° | -270° | -360° |
|---|---|---|---|---|---|---|---|---|---|---|
| sin (α) | 0 | -1/2 | -1/√2 | -√3/2 | -1 | -√3/2 | -0 | 1/√2 | 1 | 0 |
| cos (α) | 1 | √3/2 | 1/√2 | 1/2 | 0 | -1/2 | -1 | -1/√2 | 0 | 1 |
| tan (α) | 0 | -1/√3 | -1 | -√3 | undefined | √3 | 0 | -1 | undefined | 0 |
| csc (α) | undefined | -2 | -√2 | -2/√3 | -1 | -2/√3 | undefined | √2 | 1 | undefined |
| sec (α) | 1 | 2/√3 | √2 | 2 | undefined | -2 | -1 | -√2 | undefined | 1 |
| cot (α) | undefined | -√3 | -1 | -1/√3 | 0 | 1/√3 | undefined | -1 | 0 | undefined |
Click on the angles to find the values of all individual ratios for the corresponding angle (from 0 to 360). This negative trigonometric ratios chart is used in solving trig calculations in the field of mathematics, science and engineering.