Question

tan 20°tan 40° tan 80° = √3​

Answer 1

Answer:

tan20.tan(60-20).tan(60+20)

tan20.(tan60 - tan20)/(1 + tan60tan20).(tan60 + tan20)/(1 - tan60tan20)

tan20(tan260 - tan220)/(1 - tan260tan220)

tan20(3 - tan220)/(1 - 3tan220)

3tan20 - tan320/1 - 3tan220

tan(3*20)= tan 60 = root 3

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Answer 2

Hope it helps u look at the attachment