Question

if x=a sin thita,y=b tan thita. prove that a²/x²_b²/y²=1​

Answer 1

$\frac{a}{x} = \csc(theta) \: \: \\ \frac{b}{y} = \cot(theta)$

$\frac{ {a}^{2} }{ {x}^{2} } - \frac{ {b}^{2} }{ {y}^{2} } = { \csc(theta) }^{2} - { \cot(theta) }^{2} \\ = 1$