Question

root 3(tan15×tan25×tan60×tan65×tan75)

Answer 1

HELLO DEAR,

$\sqrt{3} ( \tan15 \times \tan25 \times \tan60 \times \tan65 \times \tan75) \\ = > \sqrt{3} ( \tan15 \times \tan(90 - 15) \times \tan(25) \times \tan(90 - 25 ) \times \tan(60) \\ = > \sqrt{3} ( \tan(15) \times \cot(15) \times \tan(25) \times \cot(25) \times \tan(60) ) \\ = > \sqrt{3} ( \tan(15 ) \times \frac{1}{ \tan(15)} \times \tan(25) \times \frac{1}{ \tan(25) } \times \sqrt{3} ) \\ = > \sqrt{3} \times 1 \times 1 \times \sqrt{3} \\ = > \sqrt{3} \times 3 \\ = > 3$
I HOPE ITS HELP YOU DEAR,
THANKS