The tan value when angle of a right triangle equals to $90^°$ is called tan of angle $90$ degrees. It is mathematically written as $\tan{(90^°)}$ in sexagesimal system.

$\tan{(90^°)} \,=\, \infty$

Mathematically, it is not possible to find the exact value of tangent of angle $90$ degrees because the exact value of $\tan{(90^°)}$ is undefined. So, its value is denoted by infinity symbol.

The $\tan{(90^°)}$ can be expressed in different ways alternatively. So, it is written as $\tan{\Big(\dfrac{\pi}{2}\Big)}$ in circular system and also written as $\tan{(100^g)}$ in centesimal system.

$(1) \,\,\,$ $\tan{\Big(\dfrac{\pi}{2}\Big)} \,=\, \infty$

$(2) \,\,\,$ $\tan{(100^g)} \,=\, \infty$

You just learnt that the exact value of $\tan{(100^g)}$ is undefined and you have to know mathematically how the exact value of $\tan{\Big(\dfrac{\pi}{2}\Big)}$ is infinity in trigonometry.

List of most recently solved mathematics problems.

Jul 04, 2018

Limit (Calculus)

Evaluate $\displaystyle \large \lim_{x \,\to\, \tan^{-1}{3}} \normalsize {\dfrac{\tan^2{x}-2\tan{x}-3}{\tan^2{x}-4\tan{x}+3}}$

Jun 23, 2018

Limit (Calculus)

Evaluate $\displaystyle \large \lim_{x \to 0} \normalsize \dfrac{e^{x^2}-\cos{x}}{x^2}$

Jun 22, 2018

Integral Calculus

Evaluate $\displaystyle \int \dfrac{1+\cos{4x}}{\cot{x}-\tan{x}} dx$

Jun 21, 2018

Limit

Evaluate $\displaystyle \large \lim_{x \to \infty} \normalsize {\sqrt{x^2+x+1}-\sqrt{x^2+1}}$

Math Doubts is a best place to learn mathematics and from basics to advanced scientific level for students, teachers and researchers.
Know more

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.