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Tan6°tan42°tan66°tan78°is equals to 1....please prove it n explain it too

Tan6°tan42°tan66°tan78°is equals to 1....please prove it n explain it too

Grade:11

1 Answers

Tiyasha kayal
11 Points
4 years ago
Use the identity ...tan a°× tan (60-a)° ×tan (60+a)° =tan 3a°.Set a=6 tan 6°× tan 54°× tan 66°= tan18°...(1)Now set x = 18tan 18°×tan 42°×tan 78°=tan 54°..(2) Multiply (1)& (2)...tan 6° ×tan 54°× tan 66°×tan 18°× tan 42° × tan78°=tan 18°× tan 54°or,tan 6° ×tan 42°×tan 66°×tan78° =1

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