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

asked May 1, 2021 34.9k views

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5 votes

Answer:

TanФ=-1.793

Explanation:

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

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

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

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

Vatsan answered May 7, 2021

7.5k points

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