Question

eliminate theta if x= a cos theta- b sin theta , y = a cos theta + b sin theta​

Answer 1

Answer:

x^2/a^2+y^2/b^2=1

Step-by-step explanation:

x=acos∅ and y= bsin∅ are given equations

Then squaring on both side of given equations

We get,

x²=a²cos²∅ and y²=b²sin²∅

These are also written as

x²/a² =cos²∅ and y²/b² =sin²∅

To remove theta add these two equations we get

x²/a² + y²/b² =cos²∅ + sin²∅

x²/a² + y²/b² =1Ans., [because sin²∅ + cos²∅=1]