Math Doubts

$\tan{(0^°)}$ value

Fact-checked:

$\tan{(0^°)} \,=\, 0$

The value of tangent in a zero degrees right triangle is called the tan of angle zero degrees.

Introduction

The tangent of angle zero degrees is a value, which denotes the quotient of length of opposite side by the length of adjacent side when the angle of a right triangle equals to zero degrees.

The tan of angle zero degrees is written as $\tan{(0^°)}$ in Sexagesimal system and the exact value of tangent of angle zero degrees is equal to zero. It is written mathematically in the below form in trigonometry.

$\tan{(0^°)} \,=\, 0$

The tan of angle zero degrees is also expressed in two other forms in trigonometry.

circular system

The tangent of zero degrees is expressed in mathematics as tangent of zero radian. In circular system, it is written mathematically as $\tan{(0)}$.

$\tan{(0)} \,=\, 0$

Centesimal system

Similarly, the tangent zero degrees is also expressed as tan of angle zero grades and it is written in mathematical form as $\tan{(0^g)}$ in Centesimal system.

$\tan{(0^g)} \,=\, 0$

Proofs

The tangent of zero degrees value can be proved exactly in three different methods in trigonometric mathematics.

Ashok Kumar B.E. - Founder of Math Doubts

Ashok Kumar, B.E.

Founder of Math Doubts

A Specialist in Mathematics, Physics, and Engineering with 14 years of experience helping students master complex concepts from basics to advanced levels with clarity and precision.