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Úprava trigonometrického výrazu
Uprav nasledujúci výraz:
\( \large\frac{\cos x+\cos y}{\sin x-\sin y} \)
\( \large\frac{\cos\left(\frac{x+y}{2}\right)}{\sin\left(\frac{x-y}{2}\right)}=\cotg\left(\frac{x+y}{2}\right) \)
\( \large\frac{\sin\left(\frac{x-y}{2}\right)}{\cos\left(\frac{x-y}{2}\right)}=\tan\left(\frac{x-y}{2}\right) \)
\( \large\frac{\cos\left(\frac{x-y}{2}\right)}{\sin\left(\frac{x-y}{2}\right)}=\cotg\left(\frac{x-y}{2}\right) \)
\( \large\frac{\cos\left(\frac{x-y}{2}\right)}{\cos\left(\frac{x-y}{2}\right)}=1 \)