Write a short paragraph explaining this statement. Use the following example and your answers Does the particle travel clockwise or anticlockwise around the circle? Find parametric equations if the particles moves in the opposite direction around the circle. The position of a particle is given by the parametric equations x = sin t, y = cos t where 1 represents time. We know that the shape of the path of the particle is a circle.

Write a short paragraph explaining this statement. Use the following example and your answers Does the particle travel clockwise or anticlockwise around the circle? Find parametric equations if the particles moves in the opposite direction around the circle. The position of a particle is given by the parametric equations x = sin t, y = cos t where 1 represents time. We know that the shape of the path of the particle is a circle.

Question
Write a short paragraph explaining this statement. Use the following example and your answers Does the particle travel clockwise or anticlockwise around the circle? Find parametric equations if the particles moves in the opposite direction around the circle. The position of a particle is given by the parametric equations \(x = sin t, y = cos t\) where 1 represents time. We know that the shape of the path of the particle is a circle.

Answers (1)

2021-03-19
The particle travels clockwise. And if the particle travels in the opposite direction around the circle, the parametric equations are \(x= cos t, y= sin t\). Calculation: The particle travels clockwise. For example at \(t = 0\) the particle is at the point (0, 1), but at the time \(t = \frac{\pi}{2}\) the particle has move to the point (1, 0) in a clockwise direction. The parametric equations when the particle travels in the opposite direction. The parametric equations will be exchanged that are, \(x = cos t, y = sin t\). Conclusion: Hence, the particle travels clockwise. And if the particle travels in the opposite direction around the circle, the parametric equations are \(x= cos t, y = sin t\).
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