\(\frac{\sin 70^\circ \cos 10^\circ - \cos 70^\circ \sin 10^\circ}{\cos 50^\circ \cos 10^\circ - \sin 50^\circ \sin 10^\circ}\) ifadesinin değeri kaçtır?
\(\frac{\sin 70^\circ \cos 10^\circ - \cos 70^\circ \sin 10^\circ}{\cos 50^\circ \cos 10^\circ - \sin 50^\circ \sin 10^\circ}\)
\(\frac{1}{2}\)
\(\frac\) { \(\sqrt{3}\) }{2}
1
\(\sqrt{3}\)
2
\(\sin\) A \(\cos\) B \(- \cos\) A \(\sin\) B \(= \sin\) (A-B)
\(\sin 70\) ^ \(\circ \cos 10\) ^ \(\circ - \cos 70\) ^ \(\circ \sin 10\) ^ \(\circ = \sin\) (70^ \(\circ - 10\) ^ \(\circ\)) \(= \sin 60\) ^ \(\circ = \frac\) { \(\sqrt{3}\) }{2}
\(\cos\) A \(\cos\) B \(- \sin\) A \(\sin\) B \(= \cos\) (A+B)
\(\cos 50\) ^ \(\circ \cos 10\) ^ \(\circ - \sin 50\) ^ \(\circ \sin 10\) ^ \(\circ = \cos\) (50^ \(\circ + 10\) ^ \(\circ\)) \(= \cos 60\) ^ \(\circ = \frac{1}{2}\)
\(\frac\) { \(\frac\) { \(\sqrt{3}\) }{2}}{ \(\frac{1}{2}\) } \(= \sqrt{3}\)