Question

If (theta) = arctan1, what is theta? in terms of pi?

Answer 1

tan(theta)=tan(arctan1)
tan(theta)=1
think of your unit circle
tan(theta)=y/x
if y/x=1, then y=x. you have an isosceles right triangle, the angles of which are each 45º or pi/4 radians

Answer 2

that is the reference angle. there are other solutions

Answer 3

theta=pi/4+k*pi, where k is an integer

Answer 4

I have a similar problem that I can't figure out. if theta = arctan(-1/squareroot 3)
what is theta in terms of pi?