Find parametric equations for the path of a particle that moves along the circle x2 + (y − 1)2 = 16 in the manner described. (Enter your answer as a comma-separated list of equations. Let x and y be in terms of t.)

Step-by-step explanation:

The parametric equations are determined by determining the trigonometric expressions associated to each component. Let 16 the square of the hypotenuse of a right-angled triangle, of which one of its extremes is set on the center of the circle C(0, 1). Then:

By remembering the fundamental trigonometric identity () and comparing it with each term, the parametric equations are finally found:

according to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. if we know one angle is already 90, we do 180-90=90. the other 2 angles must add up to 90, exactly.

step-by-step explanation:

c.)

step-by-step explanation: