why is -sin(380)/cos (380) equal to -tan(200) I don't see how it's 200 wouldn't it be -tan 380

Tan(theta+n*PI)=tan(theta)

tangent is periodic every pi radians.

Tan(theta+n*180)=tan theta

-tan380=-tan(380-180)=-tan200

Learn quickly those periodic formulas, or as I do, memorize the sine and cosine curves.