The trigonometric function tangent gives a value for each angle in a right triangle and it is called the tangent value. In trigonometric mathematics, there are numerous tan values but five of them are used mostly and they are actually used to derive the remaining tan function values mathematically.
The special values of tangent function for some standard angles are listed here in a tabular form with proofs. The tan chart is really useful to us in studying the advanced trigonometry.
| Angle $(\theta)$ | Tan value $(\tan{\theta})$ | ||||
|---|---|---|---|---|---|
| Degrees | Radian | Grades | Fraction | Decimal | Proof |
| $0^°$ | $0$ | $0^g$ | $0$ | $0$ | |
| $30^°$ | $\dfrac{\pi}{6}$ | $33\dfrac{1}{3}^g$ | $\dfrac{1}{\sqrt{3}}$ | $0.5774$ | |
| $45^°$ | $\dfrac{\pi}{4}$ | $50^g$ | $1$ | $1$ | |
| $60^°$ | $\dfrac{\pi}{3}$ | $66\dfrac{2}{3}^g$ | $\sqrt{3}$ | $1.7321$ | |
| $90^°$ | $\dfrac{\pi}{2}$ | $100^g$ | $\infty$ | $\infty$ | |
A best free mathematics education website for students, teachers and researchers.
Learn each topic of the mathematics easily with understandable proofs and visual animation graphics.
Learn how to solve the math problems in different methods with understandable steps and worksheets on every concept for your practice.
Copyright © 2012 - 2022 Math Doubts, All Rights Reserved