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The essence of mathematics is not to make simple things complicated, but to make complicated things simple

*** S.Gudder

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 Trigonometry

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The word ‘trigonometry’ literally means “measure of a triangle”. The main purpose in trigonometry is to solve the following problem

If some sides and angles of a triangle are known, how do we find the remaining sides and angles?

This problem is solved by using some ratios of sides of a right triangle with respect to its acute angles called trigonometric ratios of angles. Such problems occur in astronomy, engineering surveys, navigation etc. You know, in the case of music theory, the application of trigonometry is related to the work begun by Pythagoras. The resemblance between the shape of a vibrating string and the graph of a sine function is no coincidence. Hence the study of trigonometry has great practical utility.

The results from the following areas of trigonometry will be helpful.