Answer:
[tex]tan(450-a)=5\sqrt{3}-8[/tex]
Step-by-step explanation:
We know that:
[tex]tan(a-b)=\frac{tan(a)-tan(b)}{1+tan(a)tan(b)}[/tex]
[tex]tan(450-a)=\frac{tan(450)-tan(a)}{1+tan(450)tan(a)}[/tex]
Remember:
450°=360°+60°
and:
[tex]tan(a)=\frac{1}{2}[/tex]
Thus:
[tex]tan(450-a)=\frac{tan(60)-tan(a)}{1+tan(60)tan(a)}\\\\[/tex]
Then:
[tex]tan(450-a)=5\sqrt{3}-8[/tex]
