125k views
4 votes
The x-intercepts of y=tanx are the same as the x-coordinates of the center points of y=tanx

1 Answer

3 votes

Answer:

It is true that the x-intercepts of y=tanx are the same as the x-coordinates of the center points of y=tanx

Explanation:

Given function is a trignometric one

y = tanx

we have tanx has values 0 for all multiples of pi.

i.e. tan x =0 whenever
x = 2n\pi for all integers n.

Also tanx has a period of pi.

It is a discontinuous graph extending in one period from -pi/2 to pi/2.

Hence the mid point of each period is the x intercept.

It is true that the x-intercepts of y=tanx are the same as the x-coordinates of the center points of y=tanx

User Machine Tribe
by
7.4k points