Question

Prove that $(\sin {35}^0\cos {55}^0+\cos {35}^0\sin {55}^0)+\sqrt{3}\left(\tan {10}^0\tan {30}^0\tan {80}^0\right)=2$.

Answer 1

$(sin{35}^{0}cos{55}^0+cos{35}^{0}sin{55}^0)+\left(\sqrt{3}\right(tan{10}^{0}tan{30}^{0}tan{80}^0)=2$

$(0.3289+0.67101)+\left(1\right)=2$

$0.99991+1=2$