Question

Find the value of 2tan 60° + cos 30° - sin 60°​

Answer 1

$2 \sqrt{3}$

Step-by-step explanation:

Since,

tan60° = √3

cos30° = √3/2

sin60° = √3/2

Therefore,

$2 \tan {60}^{o} + cos {30}^{o} - sin {60}^{o} \\ = 2( \sqrt{3} ) + (\frac{ \sqrt{3} }{2}) - (\frac{ \sqrt{3} }{2}) \\ = 2 \sqrt{3}$