Question

Tan π/2 Value with solutions

Answer 1

Tan(x)=sin(x)/cos(x) so
tan(pi/2)=1/0, which is undefined.

Answer 2

Answer:

$tan(\frac{\pi}{2})=\frac{1}{0}$

Step-by-step explanation:

The given expression is

$tan(\frac{\pi}{2})$

We know that the tangent function is defined as the quotient between the sin and cosin functions, that is

$tan(\theta)=\frac{sin\theta}{cos \theta}$, where $\theta = \frac{\pi }{2}$

So, if we use this trigonometric expression, we have

$tan(\frac{\pi}{2})=\frac{sin(\frac{\pi}{2} )}{cos(\frac{\pi}{2}) }$

But, $\frac{\pi}{2}=90\°$ and $cos90\°=0$, $sin90\° = 1$

Replacing,

$tan(\frac{\pi}{2})=\frac{1}{0}$

Which is undetermined, because there is no number which product with zero isn't null.

Therefore, the solution is undetermined in this case.