Question

(tan 17 degree)(tan 33 degree) (tan60 degree) (tan 57 degree) (tan 73 degree)=root 3

Answer 1

Given

(tan 17°)(tan 33°)(tan 60°)(tan 57°)(tan 73°)=√3

Solution

$\implies$(tan 17°)(tan 33°)(tan 60°)(cot (90 - 57)°)(cot (90-73)°)=√3

$\implies$(tan 17°)(tan 33°)(tan 68°)(cot 33°)(cot 17°)= √3

$\implies$(tan 60°) = √3

Final Answer

$\implies$√3 = √3