A motion is defined by the following parametric equations x sin t y 2cos t 1 a Show that the particle passes through the point 2 2 F b Find the slope of the tangent line to the curve the orbit at this point c By using T t T d y dx Find the time t at which the particle passes through this po determine whether the orbit is concave up or concave down near this point d At what speed does the particle go through this point e Sketch the orbit and indicate the direction of the motion