Question

If:
3y cosθ = 2x sinθ
and
4x secθ - 3y cosecθ = 2
Show:
4x^2 + 9y^2 =4

Answer 1

from first we have 2x secθ=3y cosecθ putting it in second eq. we have
2x secθ=3y cosecθ=2
or x=cosθ and 3y=2sinθ
putting the values in the third we have

4x^2 + 9y^2 =4 as