show that: tan48 tan23 tan42 tan67=1
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tan48 tan23 tan42 tan67=1
=tan(90-42)tan(90-67)tan42 tan67
=cot42 cot67 tan42 tan67
=(cot42 tan42)(cot67 tan67)
=(1)(1)
=1
=tan(90-42)tan(90-67)tan42 tan67
=cot42 cot67 tan42 tan67
=(cot42 tan42)(cot67 tan67)
=(1)(1)
=1
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