\cos 8^{\circ}-\sin 8^{\circ} / \cos 8^{\circ}+\sin 8^{\circ}=\cot 53^ – InterviewSolution

1.	\cos 8^{\circ}-\sin 8^{\circ} / \cos 8^{\circ}+\sin 8^{\circ}=\cot 53^{\circ}
Answer» sin8 + cos8 / sin8 - cos8=1 + cot8 / 1 - cot8= 1 + cot45 cot8 / cot45 - cot8= cot (45-8)= cot37= 1 / tan37=tan37= tan( 90 - 53)= cot 53

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