Show that: (i) sin 50∘ cos 85∘=1−√2sin 35∘2√2 (ii) sin 25� – InterviewSolution

1.	Show that: (i) sin 50∘ cos 85∘=1−√2sin 35∘2√2 (ii) sin 25∘ cos 115∘=12(sin 140∘−1)
Answer» Show that: (i) $s i n 50^{\circ} c o s 85^{\circ} = \frac{1 - \sqrt{2} s i n 35^{\circ}}{2 \sqrt{2}}$ (ii) $s i n 25^{\circ} c o s 115^{\circ} = \frac{1}{2} (s i n 140^{\circ} - 1)$

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