Question

If θ = 31π/4 , the reference angle is

Answer 1

`\cfrac{31\pi }{4}\implies \cfrac{8\pi +8\pi +8\pi +4\pi +3\pi }{4}\implies 2\pi +2\pi +2\pi +\pi +\cfrac{3\pi }{4}`

so the angle θ is really 3 revolutions plus π and then a little bit more, Check the picture below for the red reference angle.