SOLUTION: The point A( - 3, - 5) is on the terminal arm of an angle θ. Determine exact expressions for the primary trigonometric ratios for the angle.

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Question 1173963: The point A( - 3, - 5) is on the terminal arm of an angle θ. Determine exact expressions for the primary trigonometric ratios for the angle.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
The point A(-3, -5) is on the terminal arm of an angle θ.
terminal arm lies in third quadrant: sin and cos are neg, tan positive
Determine exact expressions for the primary trigonometric ratios for the angle.
r = sqrt((-3)^2 + (-5)^2) = √34
sin θ = y/r = -5/√34
cos θ = x/r = -3/√34
tan θ = y = 5/3
Wish You the Best in your Studies.