While learning the geometry of trigonometry, it is common to need answers to a number of triangles and even more complex right triangles. This could be due to a large number of students, a tight schedule or simply an impatience with figuring out the formulas for large numbers of proportions. However, all these solutions are not always found in a worksheet. If you have ever had to do this, you might have been disappointed by the ‘easy’quick’ solution that just would not fit into your time schedule.
We can solve equations of trigonometry using different methods depending on how many dimensions there are, how many points are involved and how many small areas are needed. An easy way to solve most problems would be to just refer to online resources but with such large numbers of methods, this approach may not be enough.
Many sources are available to help you find the right solution. Before getting lost in the maze of methodologies, the following steps should be taken. These can also be used in case you do not have a worksheet.
First, consider if it is possible to find the right answers. In some cases, it is possible. Using triangles for example, the right angles can be plotted using triangles.
The inverse of any triangle can be used to find the right angle using the same triangles and points. Such a triangle is called a parallelogram. Using this you can find the right answers.
Other methods such as circles and tracings can also be used to find the right angles. Circles can help you find the angles between two given points by using a circle and noting the angle.
A similar procedure is used when trying to find the right angles of more than two points, which are required in more advanced trigonometry and algebra. In this case, tracing an arc is used to find the angles by simply tracing the path from the given point to another point.
A worksheet is usually more useful when finding multiple triangles as it can cover all the angles at once. Finding correct trigonometric ratios can be quite difficult so using a worksheet will make things easier.