Guest

Prove that tan6degree.tan42degree.tan66degree.tan78degree=1

Prove that tan6degree.tan42degree.tan66degree.tan78degree=1

Grade:11

1 Answers

Arun
25750 Points
5 years ago
 
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.

Think You Can Provide A Better Answer ?

ASK QUESTION

Get your questions answered by the expert for free