Answer:
see explanation
Step-by-step explanation:
left side = sin300° = - sin60° and sin60 = [tex]\frac{\sqrt{3} }{2}[/tex], thus
sin300° = - [tex]\frac{\sqrt{3} }{2}[/tex]
right side
sin150° = sin30° = [tex]\frac{1}{2}[/tex] and
cos150° = - cos30° = - [tex]\frac{\sqrt{3} }{2}[/tex], thus
2sin150°cos150°
= 2 × [tex]\frac{1}{2}[/tex] × - [tex]\frac{\sqrt{3} }{2}[/tex] = - [tex]\frac{\sqrt{3} }{2}[/tex]
left side = right side ⇒ True
