9/21/2023 0 Comments Infinity Sign Tg![]() In conclusion, there is no general rule for assigning a value to $\tan(\pi/2)$, and if needed, it depends on which property you are considering. In another example, anyone who is familiar with complex analysis will find that the tangent function is a holomorphic function from the complex plane $\Bbb+n)\pi = \infty$ the point at infinity. For example, where we are motivated by the continuity of the tangent function on $(-\pi/2, \pi/2)$, we may let $\tan(\pm\pi/2) = \pm\infty$ so that it is extended to a 1-1 well-behaving mapping between $$ and the extended real line $$. In many cases, we just leave it undefined so that our familiar algebras remain survived.īut in other situation, where some geometric aspects of the tangent function have to be considered, we can put those rules aside and define the value of $\tan(\pi/2)$. Thus we have to give up either the algebraic rules or the definedness of $\tan(\pi/2)$. Infinity symbol, geometric cat tattoo, inspiring ravens, pinky promise tattoo, pledge of forever, lotus flower, stars, heart with colon, beauty of flowers. ![]() You have no way to assign a value to $\tan (\pi/2)$ so that its value is compatible with usual algebraic rules together with the trigonometric identities. In algebraic sense, it is just an undefined quantity. ![]()
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