Q.If \(\sec \theta = \frac{x}{y}\) and \(x \ne y\), then which one is greater between \(x\) and \(y\)?
\(\sec \theta = \frac{x}{y}\)
Or, \(\cos \theta = \frac{y}{x}\)
The maximum value of \(\cos \theta\) is 1.
Since \(x \ne y\), therefore \(\frac{y}{x} < 1\)
That means \(y < x\)
∴ Between \(x\) and \(y\), \(x\) is greater.