# Diploma in Trigonometry

## This free online course on the application of trigonometry, as well as the six trigonometry functions and its inverses.

Publisher: ADU## Description

This free online course on trigonometry has been specifically prepared to teach you about the concept of trigonometry and how it can be applied in various calculations. First of all, you will need to learn about the different types of triangles when learning about trigonometry. The properties of right-angled triangles, as well as the various methods used to prove that two triangles as similar will be covered. Then, you will explore how “SOHCAHTOA” is applied to right triangles to find missing angle measures and side lengths and see how it is applied to a variety of examples. Different angles can be classified. It is also important that you learn how to draw the angles in standard position on the Cartesian plane. Identifying which quadrant, the terminal side of the angle lies is also important. You will need to know how to determine which angles are quadrantal, and which pairs of angles are coterminal. You will see how angles can be measured in terms of degrees and radians, as well as their conversion.

Trigonometry is one of the several branches of mathematics that has evolved over the centuries with contributions from great mathematicians. This course examines the unit circle and focuses on how it is used to define the six trig functions. You will also learn how to compute the values for any angle measured in standard position. You will gain vital knowledge on how to compute arc lengths and the areas of sectors and segments in circles. Continue your study and learn how to distinguish between identities and trig equations. Upon completion of this course, you will learn how to prove identities and use them to solve these trig equations with examples. The Law of Sines and the Law of Cosines will be explained. Using these laws, you will also be able to identify the number of triangles that can be formed given specific measurements. The primary application of trigonometry is found in scientific studies where precise distances need to be measured.

Finally, this course will teach you how the graphs for the six trig functions are drawn. The properties of the six trig functions are domain, range, periodicity, frequency, symmetry, amplitude, and asymptotes. Using a basic graph, you will understand how transformations affect the graphs as a variety of new equations are defined. You will also generate the graphs of the inverse trig functions and identify their properties. You will compare the Cartesian coordinate system to the polar coordinate system. Upon completion, you will be able to convert ordered pairs and equations from one format to the other. Given equations in polar form, you will examine how to recognize and draw graphs for a variety of curves. This free online course will be of great interest to students, researchers, and anyone with an interest in understanding the application of trigonometry. So, register for this course and start your next learning journey today.

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