Math Doubts

Cotangent values

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
$0^°$ $0$ $0^g$ $\infty$ $\infty$
$30^°$ $\dfrac{\pi}{6}$ $33\dfrac{1}{3}^g$ $\sqrt{3}$ $1.7321$
$45^°$ $\dfrac{\pi}{4}$ $50^g$ $1$ $1$
$60^°$ $\dfrac{\pi}{3}$ $66\dfrac{2}{3}^g$ $\dfrac{1}{\sqrt{3}}$ $0.5774$
$90^°$ $\dfrac{\pi}{2}$ $100^g$ $0$ $0$
Math Doubts
Math Doubts is a free math tutor for helping students to learn mathematics online from basics to advanced scientific level for teachers to improve their teaching skill and for researchers to share their research projects. Know more
Follow us on Social Media
Math Problems

Learn how to solve easy to difficult mathematics problems of all topics in various methods with step by step process and also maths questions for practising.

Learn more