Math Doubts

Tangent values

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.

Table

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
$0^°$ $0$ $0^g$ $0$ $0$
$30^°$ $\dfrac{\pi}{6}$ $33\dfrac{1}{3}^g$ $\dfrac{1}{\sqrt{3}}$ $0.5774$
$45^°$ $\dfrac{\pi}{4}$ $50^g$ $1$ $1$
$60^°$ $\dfrac{\pi}{3}$ $66\dfrac{2}{3}^g$ $\sqrt{3}$ $1.7321$
$90^°$ $\dfrac{\pi}{2}$ $100^g$ $\infty$ $\infty$
Math Doubts

A best free mathematics education website for students, teachers and researchers.

Maths Topics

Learn each topic of the mathematics easily with understandable proofs and visual animation graphics.

Maths Problems

Learn how to solve the maths problems in different methods with understandable steps.

Learn solutions

Subscribe us

You can get the latest updates from us by following to our official page of Math Doubts in one of your favourite social media sites.

Copyright © 2012 - 2022 Math Doubts, All Rights Reserved