Question

Find the value of :

tan 6° tan 66° tan 42° tan 78° ℅ ? ​

Answer 1

Given : tan6°tan42°tan66°tan78° = ?

Here we'll use the formula :

tan3x=(tanx)tan(60+x)tan(60-x)

Solution :-

[ ( tan6°tan66°tan54°)/ tan54°]*[(tan42°tan78°tan18°)/tan18°] =1

Therefore the answer is 1.

Hope this'll help you..!!

Answer 2

Hmm, Good question :

See the attachment.