NEED ASAP!! let (-2,-5) be a point on the terminal side of angle θ. in standard position.

Question

draw a coordinate system and sketch a picture of θ, plot ( -2, -5) on the terminal side of θ. then find exact values of tanθ and cscθ

(the only triangle that can be used is one considered in picture to be drawn.)

Answer 1

When I sketch this out, I have θ in quadrant III with adj side = -2, and opp = -5. tan θ = (-5) / (-2) = 5/2.

Now we must find hypotenuse: hyp² = 4 + 25 and hyp = √29. csc θ = 1 / sin θ = hyp/opp = - √29 /5.