On the unit circle, tangent of an angle represents the slope of the terminal side corresponding to that angle.

Question

Calculate the slope of the terminal side corresponding to the angle θ = 2pi/3

Answer 1

-sqr3 = about -1.732 = slope

the angle = 2pi/3 = 120 degrees

that angle creates a right triangle with hypotenuse = 1 and opposite side = sqr3/2 and adjacent side = -1/2

the tangent = slope = sqr3/1 over -1/2 = sqr3/-1 = -sqr3 = about -1.732