The characteristics of the motion of the particle is derived by eliminating $t$ in the parametric expressions. Since both expressions are based on trigonometric functions, we proceed to use the following trigonometric identity:

$\cos^{2} t + \sin^{2} t = 1$ (1)

Where:

$\cos t = \frac{y-3}{2}$ (2)

$\sin t = x - 1$ (3)

By (2) and (3) in (1):

$\left(\frac{y-3}{2} \right)^{2} + (x-1)^{2} = 1$

$\frac{(x-1)^{2}}{1}+\frac{(y-3)^{2}}{4} = 1$ (4)

The motion of the particle describes an ellipse.

7 0

3 years ago

Which partial quotients could be added to find 396 ÷ 12?

Travka [436]

Answer:

33 plz braniest i think i help you

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

What is an algebraic expression for 58 less than a number n?

Korvikt [17]

Answer:

n-58

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers