The trigonometric function cotangent gives a value for every angle of a right triangle and each value is called the cotangent value. In trigonometry, there are many cot values but five cot values are used mostly and they are used to derive the remaining cot function values mathematically.
The special values of cotangent function for some standard angles are given here in a tabular form with proofs. The cot chart is really helpful to us in mathematics and everyone who studies trigonometry should remember them.
| Angle $(\theta)$ | Cot value $(\cot{\theta})$ | ||||
|---|---|---|---|---|---|
| Degrees | Radian | Grades | Fraction | Decimal | Proof |
| $0^°$ | $0$ | $0^g$ | $\infty$ | $\infty$ | |
| $30^°$ | $\dfrac{\pi}{6}$ | $33\dfrac{1}{3}^g$ | $\sqrt{3}$ | $1.7321$ | |
| $45^°$ | $\dfrac{\pi}{4}$ | $50^g$ | $1$ | $1$ | |
| $60^°$ | $\dfrac{\pi}{3}$ | $66\dfrac{2}{3}^g$ | $\dfrac{1}{\sqrt{3}}$ | $0.5774$ | |
| $90^°$ | $\dfrac{\pi}{2}$ | $100^g$ | $0$ | $0$ | |
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