Prove that cot42° cot45° cot23° cot48° cot67°=1
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Answer:
Proved
Explanation:
=Cot42° cot45° cot(90-67°) cot(90-42°) cot67°
=cot 42° cot45° tan67° tan42° cot67°
=cot42°. cot45°. 1/cot67°. 1/cot42°.cot67°
[both cot42° and cot 67° gets canceled]
=1*cot45°*1*1*1
=1 (according to degrees cot45° =1)
Hence proved
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