candycane6019
candycane6019 candycane6019
  • 02-12-2020
  • Mathematics
contestada

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

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gardnerdanj gardnerdanj
  • 07-12-2020

Answer:

TanФ=-1.793

Step-by-step explanation:

[tex]Sin^{2} (A) + Cos^{2} (A) = 1[/tex]

[tex]Sin(A)=\sqrt{1-Cos^{2} (A)}[/tex]

[tex]Tan(A) = \frac{Sin(A)}{Cos(A)}[/tex]

[tex]Tan(A) =\frac{\sqrt{1-Cos^{2}(A) } }{Cos(A)} \\Tan(A) =\frac{\sqrt{1-(-.487)^{2} } }{-.487}=-1.793433202[/tex]

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