Question

How many periods of the function y=tan x are there between -3pi/4 and 5pi/4? need help ASAP

Answer 1

2

Explanation:

Using the graph of tanx attached, we know that each period starts and restarts after each π. I've contrasted the periods of the functions in blue versus what we have between the two points in green.

From -3π/4 to 5π/4, we have.....

1/4 of a period

1 full period

3/4 of a period

1/4 + 1 + 3/4 = 2 periods

I hope this helps!