\(\cos 52^\circ = \frac{x}{\sqrt{x^2 + y^2}}\) ā \(\cos^2 52^\circ = \left(\frac{x}{\sqrt{x^2 + y^2}}\right)^2\) ā \(\cos^2 52^\circ = \frac{x^2}{x^2 + y^2}\) ā \(1 - \cos^2 52^\circ = 1 - \frac{x^2}{x^2 + y^2}\) ā \(\sin^2 52^\circ = \frac{x^2 + y^2 - x^2}{x^2 + y^2}\) ā \(\sin^2 52^\circ = \frac{y^2}{x^2 + y^2}\) ā \(\csc^2 52^\circ = \frac{x^2 + y^2}{y^2}\) ā \(\csc^2 52^\circ - 1 = \frac{x^2 + y^2}{y^2} - 1\) ā \(\cot^2 52^\circ = \frac{x^2 + y^2 - y^2}{y^2}\) ā \(\cot^2 (90^\circ - 38^\circ) = \frac{x^2}{y^2}\) ā \(\tan^2 38^\circ = \frac{x^2}{y^2}\) ā \(\tan 38^\circ = \frac{x}{y}\)