Question

At angle θ lies in Quadrant III. If cosθ=-0.487, what is tanθ rounded to the nearest thousandth??

Answer 1

TanФ=-1.793

Explanation:

`Sin^(2) (A) + Cos^(2) (A) = 1`

`Sin(A)=\sqrt{1-Cos^(2) (A)}`

`Tan(A) = (Sin(A))/(Cos(A))`

`Tan(A) =\frac{\sqrt{1-Cos^(2)(A) } }{Cos(A)} \\Tan(A) =\frac{\sqrt{1-(-.487)^(2) } }{-.487}=-1.793433202`