One of the largest issues in ancient mathematics was accurac

One of the largest issues in ancient mathematics was accuracy—nobody had calculators that went out ten decimal places, and accuracy generally got worse as the numbers got larger. Why did trigonometry allow for some questions to be answered very accurately, even if the numbers involved were very large?

Solution

Trigonemetry has the usage of pythaogoras theorem which accurately gives us the third side in a right

angled triangle.if we have length of two sides given.Example a^2 = b^2 +c^2 where we can find any third variable if we have two other sides given.

Secondly , we can find all the trigonemetric ratios ( sin x, cosx, tanx, etc) using a right angled triangle and further

solve to get the magnitude of angles of the triangle.

Further , mathematicians could provide trigonometric theorems with formula and equations they presented which they used to determine the exact measurement and calculation of any given trigonometric problems.

So, the theorem and properties of troigonometric ratios helped to solve questions in trigonementry accuratley without using calculators.