# Prove that tan 6<

To Prove: tan 6° tan 42° tan 66° tan 78° = 1

Taking LHS,

= tan 6° tan 42° tan 66° tan 78°

Multiply and divide by tan 54° tan 18°

…(i)

We know that,

tan x tan(60° – x) tan (60° + x) = tan 3x

So, eq. (i) becomes

= 1

= RHS

LHS = RHS

Hence Proved

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