High School Algebra - Sequences and Trigonometric Functions

Are sigma notations difficult for you, or do you want to understand sequences defined by various formulas? Then this high school algebra course is for you! In it, the pattern of sequences along with the enumerative and closed forms will be discussed in practical terms. Learn about the procedures for solving finite and infinite sequences. Learners will be introduced to arithmetic and geometric sequences together with applicable examples. Build foundational knowledge of finite and infinite series in addition to expressing series using sigma notation. Study the finite and infinite geometric series as well as arithmetic series. The triangular sequence and sequence defined by a recursive formula will also be covered. Then gain a proper understanding of the Fibonacci, harmonic, power, and binary sequences.

The material explains the concept of a right triangle from its sides and the importance of the hypotenuse. Learn about the basic trigonometric ratios along with the four methods for proving similar triangles and their ratios. The basic concepts of trigonometric application and solving triangles using trigonometric ratios will be explained. Study the 30-60-90 degree triangle and 45-45-90 degree triangle along with the rules for the lengths of the sides in these two special triangles. Master the terminologies, quadrants, and classification of angles. Study the methods to determine the length of an arc and the coterminal angles. The measurement and conversion of angles will also be broken down. Taking this course gives you insights into the idea, formula representation, and frequently used values of the sine function. You will learn about the application of the cosine and tangent functions. Then study the three additional circular functions related to the basic circular functions of sine, cosine, and tangent.

Lastly, cofunctions, trigonometric values of quadrantal angles, and Pythagorean identities are covered. Learn about the methods used to determine the trigonometric value of any angle measure. Study how to find the remaining trigonometric values when one value is known. Grapple with the graphs of the six trigonometric functions considering the period, amplitude, frequency, domain, and range of each. Study the reciprocal relationships of the trigonometric functions with their inverse pairs while topics such as trigonometric identities and equations will be covered extensively. Finally, the various methods for proving identities and solving equations will also be explored. This course will be of great benefit to students who have an interest in algebra.