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prove tan 20 tan 40 tan 80 = tan 60 Without using a calculator

prove tan 20 tan 40 tan 80 = tan 60 
Without using a calculator 

Grade:11

1 Answers

Aman Kashyap
110 Points
4 years ago
We have a simple formula in our books as follows:- Tanθ.tan(60-θ).tan(60+θ) = tan3θ We see a similar situation in the question, let 20°=θ ,then 40°=60-θ and 80°=60+θ.So it turna out to tan3θ which is tan3(20) =tan60. Please approve it it helpedThanks

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