Give the value of Tan 3pi÷2?

1 Answer
Feb 22, 2018

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

Explanation:

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!