Diploma in Trigonometry

This online course helps you master trigonometry, the branch of math used to find the length of a triangle and its angles. Knowing six trig functions, their properties and the inverses of their functions is a valuable skill when working in trigonometry. This diploma course lets you explore trig identities, methods for solving equations, and examples of applications in physics.

What You Will Learn In This Free Course

Right Triangle Trigonometry

In this module, you will be introduced to the parts of a right triangle. Similar triangles and the four methods for proving similarity will be examined in this topic. You will also be introduced to the concepts of right triangles and similarity, the 6 trigonometric functions.

Angles and Their Measure

In this module, you will be introduced to the various types of angles based on their measurements, and how angles are measured in degrees or radians. You will also learn about the methods for converting one type of angle measure to the other. You will also be introduced to steps for computing the lengths of arcs on circles and the areas of sectors and segments of circles.

Circular Functions

In this module, you will be introduced to the three basic trigonometric functions. The reciprocal trig functions, cosecant, secant, and cotangent, as well as the relevance of cofunctions, will be explained. You will also be introduced to trigonometric values of quadrantal and the three Pythagorean Identities.

Trigonometric Ratios of any Angle

In this module, you will be introduced to the signs of the trigonometry functions for each quadrant and their numerical values. With this information and the Pythagorean identities, you will also be introduced to the steps used to determine the remaining trig values for any angle.

Diploma in Trigonometry – First Graded Assessment

You need to score 80% or more to pass.; Module

Trigonometric Identities and Equations

In this module, you will be introduced to equations and identities. You will also learn about the sine, cosine, and tangent of the sum/difference of two angles. You will also be introduced to steps to solve first and second-degree equations and equations containing more than one trig function.

Graphs of Trigonometric Functions

In this module, you will be introduced to the process of graphing reciprocal pairs of trig functions. The domain, range, period, asymptotes, as well as symmetry will be explained for each graph. Then analyze various graphs of trig functions that have undergone changes in amplitude, period, frequency, and range.

Inverse Trigonometric Functions

In this module, you will be introduced to the meaning of an inverse trig function. The notations for finding the value of an inverse with the principal value of an inverse will be explored. You will also analyze the process for graphing inverse trig functions.

Applications

In this module, you will be introduced to the appropriate methods for determining side lengths, angle measures, and areas for triangles given specific information. The ambiguous case for determining the number of triangles that are possible given specific measures will be discussed. You will also be introduced to how these problems in physics require the use of vectors and resultants.

Polar Coordinates

In this module, you will be introduced to polar coordinates as an alternate method for describing and graphing equations in the rectangular Cartesian form. You will compare the two graph layouts and translate ordered pairs and equations back and forth from rectangular coordinates to polar coordinates.

Diploma in Trigonometry – Second Graded Assessment

You need to score 80% or more to pass.; Module

Course assessment