Diploma in Trigonometry

This trigonometry course has been specifically prepared to teach you about the concept of trig and how it can be applied in various calculations. First of all, you will learn about different types of triangles and 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 SOH CAH TOA is applied to right triangles to find missing angle measures and side lengths. Different angles can be classified and it is important that you know how to draw them in standard position on the Cartesian plane. Identifying in which quadrant the terminal side of the angle lies is also essential. 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.

Next, this course examines the unit circle and focuses on how it is used to define the six trig functions. You will learn how to compute the values for any angle measured in standard position. You will gain vital knowledge on how to calculate arc lengths and the areas of sectors and segments in circles. See how to distinguish between identities and trig equations. On 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 them, 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, the material teached you how the graphs for the six trig functions are drawn. The properties of the 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, and compare the Cartesian coordinate system to the polar coordinate system. By the end, 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 trig course will be useful to anyone studying higher-level math or those who need a refresher for jobs where trigonometry is used. So, register now and start your next learning journey today.