Please help!! x = 2 - 3 cos t, y = 1 + 4 sin t in rectangular form?

thank you! :)

Step-by-step explanation:

Let's solve for in the first equation and then solve for in the second equation.

I will then use the following identity to get right of the parameter, :

(Pythagorean Identity).

Let's begin with .

Subtract 2 on both sides:

Divide both sides by -3:

Now time for the second equation, .

Subtract 1 on both sides:

Divide both sides by 4:

Now let's plug it into our Pythagorean Identity:

Option 1

Step-by-step explanation:

x = 2 - 3cost

cost = (x-2)/-3

(cost)² = (x-2)²/9

y = 1 + 4sint

sint = (y-1)/4

(sint)² = (y-1)²/16

cos² + sin² = 1

(x-2)²/9 + (y-1)²/16 = 1

option a.

step-by-step explanation:

if you look closely at the graph, we can notice that the function is not defined at two different points.

if you look at functions b and c, you will notice that both functions are not defined at just one point. the function b is not defined at x= -5/2 and function c is not defined at x=-5. both options are discarded, given that our function should not be defined at two fiferent points.

now, if you look closely at the graph you will notice that the function sketched is not defined at x=5 and x=-2.

im pretty sure its

(8,15)

step-by-step explanation: