Find all solutions of tan(x)=1

tan x = 1
x = pi / 4 and x = 5pi / 4
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Hope this helps!

tan is 1 when x = 45 degrees or x = 225 degrees (π/4 or π + π/4)

generalizing we have

solution as nπ + π/4, where n belongs to Z

pi/4 + k*pi where k is any integer.

graph it .