Question

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

Answer 1

Answer:

TanФ=-1.793

Step-by-step explanation:

$Sin^{2} (A) + Cos^{2} (A) = 1$

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

$Tan(A) = \frac{Sin(A)}{Cos(A)}$

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