Give the value of Tan 3pi÷2?

Question

7332 views around the world

You can reuse this answer
Creative Commons License

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!