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

With the use of Trigonometry we can find the exact solution even if the numbers are two large. Let us suppose there are three cities A, B and C which form a right angle triangle. Now let us suppose if we know the distance between A and B and also B and C and we want to find distance between A and C. This we can do using Pythagorous theorem. This theorem gives us the exact result even if the numbers are too big. Also with the help of this theorem and trigonomteric identities we can find the height of towers and mountains.

Apart from these trigonometry is used in oceanography to calculate the height of the tides and the distance of the shore from a point in the sea. It is used in finding the distance between celestial bodies. In all of the cases the known data are too big but even then we can find the exact value.