Find the period of 3tan1/2*x. Also explain me the graph of y=tanx with asymptote and the curves up and down,how they come in graph?

Answer 1

the period of tan(kx) is π/k

since tanx = sinx/cosx, there is an asymptote everywhere cosx = 0. That is at all odd multiples of π/2

Answer 2

What is asymptote and how is it related to sinx/cosx? Why tan graph from down to top in a curve way?

Answer 3

you really need to study your Algebra 2 some more if you don't understand asymptotes. google the topic and see what you can learn there.

Surely your trig book explains the graphs of the trigonometric functions.

Answer 4

In that case please help me as I have only the graph in my book which does not explain how it has been derived.

Answer 5

you can take a look at this link below:
h ttps://socratic.org/questions/how-do-you-graph-y-3tan-1-2x-2
there's no space between h and ttps