The weightage of your call to actions should be defined by your end user goals and which call to action you want your users to click.
Hence the call to action which you think is more important for your business should be stronger as opposed to the secondary call to action. So in your case if you feel getting users to sign up for a free trial is more important than asking them to contact you, your free trial call to action button should be more prominent.
Here are some examples of how sites have used multiple call to actions and ensured the focus is higher on one call to action. To quote an example from an article on UX Booth
Laura Ashley arrived at this design following mulivariate testing of 5
different options on their live website, including their original one.
This page enjoyed 11% more clickthroughs to the checkout page than the
company’s original basket page.
One of the other options tested was practically identical to this one.
The only real differences being:
- The "update shopping bag" link was a grey button, placed in-between the 2 buttons shown here.
- The "Go to checkout" button was dark gray instead of green
It too was more successful than the original page but enjoyed only
3% more clickthroughs. These 2 apparently minor differences, equated
to a significant difference (7% uplift) in the number of people
proceeding to checkout.
Wufoo is another example of how you can give significant weight-age to a secondary call to action but position in your primary call to action so that it has the most weight-age as users scan the page. To quote this smashing magazine article
Wufoo offers two actions that the user can take in a horizontally
arranged fashion with the primary desired action on the left. The
buttons are large and very hard to miss, yet they are not obtrusive
when looking at the overall design.
Alternatively if you feel your secondary call to action should not have much prominence, you can go the link route as done by Xero