If the terminal side of the angle θ is on the line y=- 1/4x and is in quadrant II find the sinθ and cotθ.
#HELPPP :/

Question

If the terminal side of the angle θ is on the line y=- 1/4x and is in quadrant II find the sinθ and cotθ. 
#HELPPP :/

e.mccormick · Answer

Did you start with a sketch?

anonymous · Answer

no.

e.mccormick · Answer

It can help you find the reference angle you need by making a right triangle.

anonymous · Answer

thanks.

ikram002p · Answer

if y =(-1/4)x then tanθ=-1/4 , So the angle would be tan^-1(-1/4)=14, since its in quadrant II sinθ is positive =0.24  and cosθ is negative = -0.97

e.mccormick · Answer

https://www.desmos.com/calculator/f4ii9pdkrh With that triangle, or another on the same line, I can find the trig ratios for the angles. Then 180- the angle from the origin down to the x axis is the measure of the one you want.

e.mccormick · Answer

Oops ...down from the line that goes through the origin....

e.mccormick · Answer

Which is basically the same thing ikram002p said.  He is just using the slope alone, which is what gives me the ratio of the sides as well.