High School Algebra - Sequences and Trigonometric Functions
Learn about the operations of sequences, right triangle trigonometry, and circular functions in this free online course.Publisher: ADU
CertificationView course modules
Sequences and Trigonometric Functions is a free online course from Alison that provides learners with a practical guide to the manipulation of sequences, right triangle trigonometry, and circular functions. Are sigma notations difficult for you, or do you wish to stand out in the knowledge of sequences defined by various formulas? Then this course is for you! In this course, the pattern of sequences along with the enumerative and closed forms will be discussed in practical terms. Learn about the procedures for solving solves for 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 geometric series and infinite geometric series as well as arithmetic series. The triangular sequence and sequence defined by a recursive formula will also be covered in this course. Gain a proper understanding of the Fibonacci, harmonic, power, and binary Sequences by taking this course.
Furthermore, this course explains the concept of a right triangle from its sides and the importance of the hypotenuse. You will learn about the basic trigonometric ratios along with the four methods for proving similar triangles and the ratios in similar triangles. The basic concepts of trigonometric application and solving triangles using trigonometric ratios will be explained in this course. Study the 30 degrees - 60 degrees - 90 degrees triangle and the 45 degrees - 45 degrees - 90 degrees triangle along with the rules for the lengths of the sides in these two special triangles. Learn about the terminologies, quadrants, and classification of angles. Study the procedures in determining the length of an Arc and the coterminal angles. The measurement and conversion of angles will also be explained in this course. Taking this course gives you insight 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. 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 will be covered in this course. If you seek to gain a proper understanding of reference or related angles, then this course is for you. You will learn about the methods used in determining the trigonometric value of any angle measure. You will study procedures used in finding remaining trigonometric values when one value is known. Learn about the graphs of the six trigonometric functions considering the period, amplitude, frequency, domain, and range. Study the reciprocal relationships of the trigonometric functions with their inverse pairs. Moreso, topics such as trigonometric identities and equations will be covered extensively. Finally, the various methods for proving identities and for solving equations will also be covered. This course will be of great benefit to learners, students, researchers, enthusiastic Mathematicians, and all who have an interest in Algebra. Register for this course today and take your numeracy skills to the next level!Start Course Now
Sequences and Series
Sequences and Series - Learning Outcomes
Introduction to Sequences and Series
Finite and Infinite Sequences
Finite and Infinite Series
Other "Interesting" Sequences and Series
Sequences and Series - Lesson Summary
Right Triangle Trigonometry
Right Triangle Trigonometry - Learning Outcomes
Vocabulary and Terms
Special Right Triangles
Angles and Their Measures
Right Triangle Trigonometry - Lesson Summary
Circular Functions - Learning Outcomes
Reciprocal Trigonometric Functions
Trigonometric Ratios of Any Angle
Graphs of Trigonometric Functions
Trigonometric Identities and Equations
Circular Functions - Lesson Summary
Upon successful completion of this course, you will be able to;
- Discuss the pattern of sequences and series.
- Solve for finite and infinite sequences.
- Explain the triangular sequence and sequence defined by a recursive formula.
- Discuss the basic trigonometric ratios.
- Outline the rules for sides lengths in these two special triangles.
- Analyze the terminologies, quadrants, and classification of angles.
- Analyze the sine, cosine, and tangent functions.
- Discuss the additional functions related to the basic circular functions of sine, cosine, and tangent.
- Explain the graphs of the six trigonometric functions considering the period, amplitude, frequency, domain, and range.
- Outline the various methods for proving identities and for solving equations.
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