Question

Write The Parametric Equations. X=5sinθ,Y=6cosθ,0≤Θ≤Π In The Given Cartesian Form. 36y²= You Cartesian form. y²/36 = You have attempted this problem 0 times. You have 5 attempts remaining

Answer 1

The Cartesian form of the given parametric equations x = 5sin(theta) and y = 6cos(theta) is 36y^2 = 36cos^2(theta).

Step-by-step explanation:

The given parametric equations are x = 5sin(theta) and y = 6cos(theta), where 0 ≤ theta ≤ pi.

To convert these parametric equations to Cartesian form, we can square both equations and use the trigonometric identities sin^2(theta) + cos^2(theta) = 1.

Squaring both equations results in x^2 = 25sin^2(theta) and y^2 = 36cos^2(theta).

Then, dividing both sides of the second equation by 36, we get y^2/36 = cos^2(theta).

Therefore, the Cartesian form of the parametric equations is 36y^2 = 36cos^2(theta).