Output a sine wave from samples-limits?
Eventhough your problem is quite a practical one, based on a particular chip to produce a sine wave that requres a solid understanding of its blocks, I would, nevertheless, like to provide you a general framework for producing a continuous time sine wave from a set of discrete time samples, from which you can deduce the details of implementation for your particular architecture.

Now for this particular problem of producing a sine wave, the fundamental factor which will determine your analog output capability from a DAC is the quality of the analog "Anti-Imaging" filter (also known as interpolation or reconstruction filter)

When that filter is an ideal one (or a close enough approximation) it can reject all the distorting image frequency bands that exist due to the DAC output being an ideal impulse based sampled representation of the signal to be reconstructed. (A sine wave in this case).

In such a case (of close to ideal) of operating conditions, you can generate a perfect sine wave at any desired frequency from just "2" samples of it, by merely adjusting the output DAC conversion frequency. The filter will interpolate all the missing wave in the ideal case. 

In other words, your sine wave samples will be this $$x[n] = \cos(\pi n)$$ which has only two samples which are +1 and -1 per period, representing a critically sampled sinusoidal. Your DAC will output +A and -A after scaling for each consequitive conversion period (which is limited by either your chip speed or your DAC output settling time) and that perfect reconstruction filter will convert those apexes into a smooth sine wave. 

By adjusting the DAC output conversion period you can control the produced sinusoidal wave frequency simply as: $$f_{sine} = \frac{1}{2 T_{conversion}}$$

Now things are not ideal (especially DAC output involves a zero order hold block that should be taken into account in the design of the reconstruction filter) and therefore sadly just two samples per period will not be enough. In such a case, to be able to use a less perfect and easier to design analog output reconstruction filter you will provide more samples of the sine wave per period. But how many samples? It depends on your filter quality. The better the filter the less the number of samples.

The frequency is however is still adjusted the same way: In general let: $$x[n] = \cos(\omega_k n)$$
be your one period of sampled signal (look up table samples) where $w_k$ (being  between $0$ and $\pi$) is the discrete time frequency of the generic set of samples. And let your DAC output period be $T_s$ then the produced output sine wave will have the frequency of:
$$f_{sine} = \frac {\omega_k}{2 \pi T_s}$$

Again by adjusting $T_s$ or $\omega_k$ you can control this frequency.