Correct Answer - Option 4 :
\(\dfrac{1}{\sqrt{3}}\)
Given:
The expression
cot 12° cot 38° cot 52° cot 60° cot 78°
Formula used:
cot A cot B = 1
where A + B = 90°
Calculation:
cot 12° cot 78° = 1
cot 38° cot 52° = 1
cot 60° = 1/√3
put values in the given expression
Let x = (cot 12° cot 78°)(cot 38° cot 52°) cot 60°
⇒ x = 1 × 1 × 1/√3
⇒ x= 1/√3
∴ The value of cot 12° cot 38° cot 52° cot 60° cot 78° is 1/√3.
