Give the value of Tan 3pi÷2?

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Answer 1 · 2018-02-22T09:43:06

$tan(\frac{3\pi }{2})\ =\ \text{Undefined}$

Just remember that, the periodicity of $tan$ function is $pi$ .

$tan(\frac{3\pi }{2})$

Break down the angle inside the function by applying the fraction rule ${a+b}/c=a/c+b/c$ as:

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

Simplify:

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

As stated above, $tan(\pi +x)=tan(x)$ , we get:

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

$=\text{Undefined}$

That's it!