Question

2 sin 45° + 2 cos 45° 2​

Answer 1

$2 \sin(45) + 2 \cos(45) + 2$

$= 2( \frac{1}{ \sqrt{2} } ) + 2( \frac{1}{ \sqrt{2} } ) + 2$

$= \sqrt{2} + \sqrt{2} + 2$

$= 2 + 2 \sqrt{2}$

$= 2(1 + \sqrt{2} )$