Why in projectile motion vertical component is taken as u sin theta and horizontal is taken as u cos theta
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it is just standard decided by world physics community.
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Explanation:
cos theta = Base/hypotenuse
sine thetha = perpendicular/hypotenuse
in given figure
base = Ux
hypotenuse=U
Perpendicular=Uy
cos theta = Ux/U
on cross multiplication
Ux=Ucos thetha
Uy=Usin thetha
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