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

Trigonometry is most simply associated with planar right angle triangles (with one angle equals to 90 degrees).

The term trigonometry stands for the science dealing with the measurement of triangles that is finding the unknown parameters of triangle from given values of other parameters.

Although trigonometry was originally developed as a tool for astronomical studies and navigation but later on the subject become extremely important and versatile branch of mathematics.

Use of pythagorous theorum in right angled triangle largely assisted the ancient mathematicians to determine the acuracy to measure the large numbers.

Also a number\'s accuracy can only be determined if the degree of the number with its magnitude will be fully accounted.

In ancient times, the ancient mathematicians provided many theorums and trigonometric functions to determine the required values with accuracy.

As accuracy means derivation of degree and magnitude of a number and it can only be measured from trigonometry as it deals with angles that is degree and magnitude(from sides of triangle).

And a special that we have in trigonometry is pi that can make representation of any number easy and its expression solve the problem easily.

So either number was large or small, they applied theorums from trigonometry to reach to the accuracy because trigonometry gives the degree and magnitude for the numbers that made easy to calculate large numbers with more accuracy.

Therefore a very large number can easily be calculated with accuracy using trigonometry by its theorums and its functions.