Using what you know about the relationship between the graph and the roots (solutions) of an equation, which function, in factored form, does the graph below represent? А
y = (x + 2)(x - 4)
B
y = (x - 2)(x + 4)
C
y = (x-2)(x-4)
D
y = (x + 2)(x + 4)

-2+sqrt(3)

Step-by-step explanation:

When cos(angle)=sqrt(3)/2

then sin(of that angle)= + or - 1/2 depending on the quadrant

Anyways 330 degrees is in the 4 quadrant.  Cosine is positive there while sine is negative.

so sin(330)=-1/2

Formula for tan(x/2)=(1-cos(x))/sin(x)

Therefore  tan(165)=tan(330/2)=(1-cos(330))/sin(330)=(1-sqrt(3)/2)/(-1/2)

Multiply top and bottom by 2 to get

tan(165)=(2-sqrt(3))/-1

tan(165)=-2+sqrt(3)