Answer:
m = -1.92
tan^-1(m) = -1.09 rad
-1.09 is an incorrect value for θ
θ = 2.05 rad
Explanation:
If the terminal point of a ray that starts in the origin has the coordinates (x, y), we can calculate the slope of the ray as:
[tex]m=\frac{y}{x}[/tex]Therefore, the slope of the terminal ray with terminal point (-1.06, 2.04) is:
[tex]m=\frac{2.04}{-1.06}=-1.92[/tex]Then, using the calculator, we get that the inverse function of the tangent is equal to:
[tex]\tan ^{-1}(-1.92)=-1.09\text{ rad}[/tex]-1.09 rad is a negative number, so it is an incorrect value of θ. This equation calculated the supplement of θ, so the correct value of θ is:
[tex]\theta=\pi\text{ rad - 1.09 rad = 2.05 rad}[/tex]Therefore, the answers are:
m = -1.92
tan^-1(m) = -1.09 rad
-1.09 is an incorrect value for θ
θ = 2.05 rad
