why we take horizontal component is cos theta when resolving the vector
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bcoz if you draw a perpendicular from the head end of the vector then the horizontal,that vector and the perpendicular will make a right angle triangle and as you know by trigonometry that let the angle between vector and the horizontal be theta then
by base/hypotenuse relation
cos∅=base/hypotenuse
hypotenuse be the vector and let vector be Ā then
cos∅=base/Ā
so,
base(horizontal component)=Ācos∅
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