Question 1173963
<pre><font face = "Tohoma" size = 3 color = "indigo"><b> 
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 <u>ratios</u> 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.
{{{drawing(300,300,   -6, 6, -6, 6, grid(1), 
circle(-3, -5,0.3),
line(0,0,-3,-5),
line(-3,0,-3,-5),
graph( 300, 300, -6, 6, -6, 6,0)) }}}
{{{drawing(300,300, -6, 6, -6, 6, grid(1),
circle(-3, 5,0.2),
locate(4.3,4.6,"I"),
locate(-4.3,4.6,"II"),
locate(-4.3,-4.6,"III"),
locate(4.3,-4.6,"IV"),
graph( 300, 300,-6,6,-6,6)) }}}