Question

X is equal to 2 cos theta minus 3 sin theta y is equal to cos theta + 2 sin theta

Answer 1

Answer:

Given;

x 2 cose -3sing O

y = cos theta + 2sin theta

→2y = case + using →

Now Ⓒ

2y - x = 2cos theta + 4sin theta - (2co * theta - 3sin theta)

2y - x = 2cos^2 theta + 4sin theta - 2cos theta + 3sin theta

2y-x = 7sine →→

Now (y=case + >sing) * 7

7y = 7cos theta + 2(75in * theta)

7y = 7 (050 + = (2y-x)

7cos theta = - 7y + 4y + 2x

7cos theta = 3y + 2x

cose = 34 + 2x

7

sin^2 theta + cos^2 theta = 1 + Qy² + 12xy + 4x²

+9y²+2xy + 4x