Definitions
from Wiktionary, Creative Commons Attribution/ShareAlike License
 adj. Of, pertaining to, or obtained using trigonometry
from The Century Dictionary and Cyclopedia
 Of or pertaining to trigonometry; performed by or according to the rules of trigonometry.
Etymologies
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Examples

Surveying and building trigonometrical station on a lightcoloured hill to the south of this.

According to his biographer, Carlyle had studied astronomy, and in the summer of 1817 had come upon "the site of a trigonometrical survey" while hiking with a friend. 2 The pair was given a guided tour of the site, and were allowed to peer through the surveyors 'theodolite.

If any one shall attempt to determine this ellipse by trigonometrical computation from three observations (as is usual) he will be proceeding without due caution.

I had now measured bases, besides those of latitude for my trigonometrical work, and I should not have regretted even a day longer in camp, to have had more time to protract angles, but time was too precious, as my men were voluntarily on very reduced rations.
Journal of an Expedition into the Interior of Tropical Australia

The new geographical matter is presented to the public with confidence in its accuracy, derived as it is from careful and frequent observations of latitude; trigonometrical surveying with the theodolite, whereever heights were available; and, by actual measurement of the line of route.
Journal of an Expedition into the Interior of Tropical Australia

This route was connected, at its commencement and termination, with the trigonometrical survey of the colony; and, in closing on Mount Riddell, a survey extending two degrees within the tropics, the near coincidence of his intersections with that summit, as fixed by his survey of 1830, could not but be very satisfactory to the author.
Journal of an Expedition into the Interior of Tropical Australia

The length of each of these lines is mathematically the same, for they have been determined with as much accuracy as the base of the first triangle in a trigonometrical survey.

Moresby, convoyed the first coal ship up the Red Sea, of the coasts of which this skilful and enterprising seaman made a cursory survey, from which emanated the subsequent trigonometrical operations which form our present maps.

The effect of Aristarchus's geometry is to find arithmetical limits to the values of what are really trigonometrical ratios of certain small angles, namely

He wrote a treatise in twelve Books on Chords in a Circle, equivalent to a table of trigonometrical sines.
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