Solving Trigonometric Problems

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Trigonometric identities are very useful and learning the below formulae help in solving the problems better.

There is an enormous number of fields where these identities of trigonometry and formula of trigonometry are used.

I use Scientific Notebook or similar math software to graph the functions for me.

You can use this Online Graphing Calculator to solve the following equations (or check your solutions) .

Now to get started let us start with noting the difference between Trigonometric identities and Trigonometric Ratios.

Learn more about Trigonometric Ratios here in detail.Going back, just remember there are infinitely many solutions, two per period and the two solutions in a given period are related in that they are the supplements of one another.We get one solution by using inverse sine, we get another solution by using the fact that the sine of a supplement is the same as the sine of the angle and finally use periodicity to get the remaining solutions.Keeping in mind that 5pi over 6 is pi minus pi over 6 so this is the supplement.That gives us a second solution, now I call these two solutions pi over 6 and 5pi over 6 my principle solutions and I want to get the rest of them by using the periodicity of the sine function.Trigonometry is the study of relationships that deal with angles, lengths and heights of triangles and relations between different parts of circles and other geometrical figures.Applications of trigonometry are also found in engineering, astronomy, Physics and architectural design.Two ways to visualize the solutions are (1) the graph in the coordinate plane and (2) the unit circle.The unit circle is the more useful of the two in obtaining an answer. Let's start with a really simple example, sine of theta equals a half.But a great many can be solved in closed form, and this page shows you how to do it in five steps. Bourne Trigonometric equations can be solved using the algebraic methods and trigonometric identities and values discussed in earlier sections.


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