Why do we use sine and cos trigonometric ratios to resolve vectors?
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Answer:
The six trigonometric ratios relate the sides of a right triangle to its angles. Specifically, they are ratios of two sides of a right triangle and a related angle. Trigonometric functions are typically used to calculate unknown lengths or angles in a right triangle. distance is covered along one axis or in the direction of force and there is no need of perpendicular axis or sin theta. In cross product the angle between must be greater than 0 and less than 180 degree it is max at 90 degree. ... That's why we use cos theta for dot product and sin theta for cross product.The horizontal component is just 300 sin 45 to the right. 1000 is down, 500 is up and the 300 cos 45 is up. The horizontal is sin and the vertical cos because they have given the angle to the vertical in this question, not the angle to the horizontal as in the earlier examples.