Question

Given that tan(35°) = 0.700, what is the simplest way to determine tan(80°)?

select one:

A. 1.7/0.3

OR

D. 1 + 0.700

Answer 1

`\bf tan({{ \alpha}} + {{ \beta}}) = \cfrac{tan({{ \alpha}})+ tan({{ \beta}})}{1- tan({{ \alpha}})tan({{ \beta}})}\\\\ -------------------------------\\\\ tan(80^o)\implies tan(35^o+45^o)=\cfrac{tan(35^o)+tan(45^o)}{1-tan(35^o)tan(45^o)} \\\\\\ tan(35^o+45^o)=\cfrac{0.700~+~1}{1~-~(0.700)(1)} \\\\\\ tan(35^o+45^o)=\cfrac{1.7}{1-0.700}\implies tan(35^o+45^o)=\cfrac{1.7}{0.3}`