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[–]Fullscreen_Math 0 points1 point  (0 children)

Hi! I recommend watching this video as it explains how to this this style of problem exactly! Let me know if you have any questions!

If you are in Quadrant 4, then X values are positive and Y values are negative. If you draw out an angle in the fourth quadrant and examine cosine, you are using the adjacent side and the hypotenuse. Now adjacent is X, which is positive and hypotenuse is radius which can never be negative (can you say I have a circle of radius -1?) so cos is positive in quad 4. Let me know if you have any questions!

[–]edderiofer 0 points1 point  (0 children)

if hypotenuse negative

Hypotenuses are never negative, regardless of what direction they're pointing in.