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

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step-by-step explanation: