ANSWER
[tex]a. \: \: \: \tan( \theta) = \frac{1}{1.5} \approx0.6667[/tex]
EXPLANATION
We were given that:
[tex] \cot( \theta) = 1.5[/tex]
and we want to find
[tex] \tan( \theta) [/tex]
We know that, the two ratios are reciprocals of each other.
[tex]\tan( \theta) = \frac{1}{ \cot( \theta) } [/tex]
We perform the substitution to obtain:
[tex]\tan( \theta) = \frac{1}{1.5} \approx0.6667[/tex]
The correct choice is A.
