91Ó°ÊÓ

First of all, it must be understood that \(\sec \theta\) is reciprocally related to \(\cos \theta\), meaning \(\sec \theta = \frac{1}{\cos \theta}\). \(\tan \theta\) is the sine divided by the cosine of \(\theta\). Although the range of values of \(\sec \theta\) can be implied by \(\tan \theta\) (since they share the denominator \(\cos \theta\)), one cannot determine an exact value for \(\sec \theta\) simply by knowing \(\tan \theta\) without the measure of \(\theta\). Knowing the value of \(\tan \theta\) (which is the ratio of the opposite side to the adjacent of a right angled triangle) will not give us a specific value of \(\cos \theta\) (which measures the adjacent side to the hypotenuse of the right-angled triangle)