Courses

Algebra 2 Trigonometry

This comprehensive Algebra 2 course delves into advanced mathematical concepts, including quadratic equations, polynomial functions, and rational functions. Students will master exponential and logarithmic functions, gain a deep understanding of trigonometric functions and their applications, and learn to solve complex trigonometric identities and equations. The course also covers vector and matrix operations, emphasizing their practical applications in various fields such as physics, engineering, and computer science. Through a blend of theoretical understanding and practical problem-solving, students will develop strong algebraic and trigonometric skills essential for higher mathematics and real-world applications.

Age group: 15-24

Content

**Module 1: Introduction to Algebra 2** - Understand the fundamental concepts of algebraic expressions, equations, and inequalities. - Learn to solve linear equations and inequalities using various methods. - Familiarise with the properties of real numbers and their applications in algebra. **Module 2: Quadratic Equations and Functions** - Master the techniques for solving quadratic equations by factoring, completing the square, and using the quadratic formula. - Understand the properties and graphs of quadratic functions. - Explore the applications of quadratic equations in real-world scenarios. **Module 3: Polynomial Functions** - Learn about polynomial functions, their characteristics, and their behaviour. - Study polynomial long division, synthetic division, and the remainder theorem. - Explore the connection between roots, factors, and graphs of polynomial functions. **Module 4: Rational Functions** - Understand the properties and graphs of rational functions. - Learn to simplify, multiply, divide, add, and subtract rational expressions. - Explore applications of rational functions in solving real-world problems. **Module 5: Exponential and Logarithmic Functions** - Master the properties and graphs of exponential and logarithmic functions. - Learn to solve exponential and logarithmic equations. - Explore applications of exponential and logarithmic functions in growth, decay, and modelling. **Module 6: Trigonometric Functions** - Understand the definitions and properties of trigonometric functions. - Learn to evaluate trigonometric functions for special angles and general angles. - Explore the unit circle and its role in trigonometry. **Module 7: Trigonometric Identities and Equations** - Master fundamental trigonometric identities and their proofs. - Learn to solve trigonometric equations using algebraic and graphical methods. - Explore applications of trigonometric identities in problem-solving. **Module 8: Trigonometric Functions of Angles** - Understand the concepts of angle measure, reference angles, and radian measure. - Learn to convert between degrees and radians and use radian measures in trigonometric calculations. - Explore the relationships between trigonometric functions of angles. **Module 9: Trigonometric Applications** - Apply trigonometric functions to solve problems involving right triangles. - Explore applications of trigonometry in geometry, physics, and engineering. - Solve real-world problems using trigonometric models and formulas. **Module 10: Graphs of Trigonometric Functions** - Understand the graphs of trigonometric functions and their transformations. - Learn to sketch and analyze the graphs of sine, cosine, tangent, secant, cosecant, and cotangent functions. - Explore the periodic nature and symmetry properties of trigonometric graphs. **Module 11: Trigonometric Equations and Identities** - Master techniques for solving trigonometric equations algebraically and graphically. - Learn to prove and apply trigonometric identities in problem-solving. - Explore applications of trigonometric equations and identities in science and engineering. **Module 12: Vectors and Matrices** - Understand the concepts of vectors and matrices and their representations in algebra. - Learn to perform basic operations on vectors and matrices, including addition, subtraction, scalar multiplication, and matrix multiplication. - Explore applications of vectors and matrices in geometry, physics, and computer science.

Prerequisites

Basic understanding of algebraic concepts, including solving equations and inequalities, working with functions, and graphing.
Familiarity with geometric shapes, angles, and properties.
Ability to perform basic arithmetic operations, including addition, subtraction, multiplication, and division.

Objectives

Solve a range of algebraic expressions, equations, and inequalities: Develop proficiency in manipulating and solving linear and quadratic equations, polynomial functions, and rational expressions.
Understand and apply the properties of exponential, logarithmic, and trigonometric functions: Master the techniques for solving and graphing these functions and applying them to real-world scenarios.
Analyze and interpret trigonometric functions and their graphs: Gain skills in evaluating, graphing, and transforming trigonometric functions, and use these skills to solve practical problems.
Use vectors and matrices for problem-solving: Perform basic operations on vectors and matrices and apply these concepts in fields such as geometry, physics, and computer science.
Apply mathematical concepts to real-world problems: Utilize algebraic, trigonometric, and matrix concepts to solve practical problems in various disciplines, including engineering, finance, and physics.

Outcomes

Algebraic Expressions and Equations: Students will be able to solve linear equations and inequalities using various methods, apply properties of real numbers, and effectively manipulate algebraic expressions.
Quadratic Equations and Functions: Students will master techniques for solving quadratic equations, understand the properties and graphs of quadratic functions, and apply quadratic equations to real-world problems.
Polynomial Functions: Students will learn about polynomial functions, perform polynomial long and synthetic division, and understand the relationship between roots, factors, and graph behavior.
Rational Functions: Students will understand the properties and graphs of rational functions, perform operations on rational expressions, and apply rational functions to solve real-world problems.
Exponential and Logarithmic Functions: Students will master the properties and graphs of exponential and logarithmic functions, solve related equations, and apply these functions to scenarios involving growth, decay, and modeling.

Why learn with Enthuziastic?

Here's why more and more people are joining Enthuziastic

Personalized Lessons

Customize your lessons to meet your individual goals.

Expert Teachers

Top rated teachers to guide you through the learning process.

Flexible Timings

Attend classes anytime, anywhere. Make your own schedule.

Easy Rescheduling

Manage holidays or conflicting appointments easily by rescheduling classes.

Complete Support

A compassionate support team to listen to your needs.

Homework & Assignments

Reinforce your learning with practical homework and hands-on assignments.

Completion Certificate

You will get a certificate for the completion of the course.

Group Discussion & Peer Learning

Collaborate with peers through discussions and shared learning experiences.

Access to Alumni Community

Join a vibrant alumni network for support, insights, and continued learning.

Post-Course Support & Career Guidance

Get expert support and career advice even after the course ends.

How it works?

Enroll

Enroll for the course of your liking by selecting 1:1 or group classes. Choose the type of instructor you want to learn with.

Schedule

Download Enthu app and schedule classes for the day and time that works best for you. You own your learning schedule.

Learn

Join classes on Zoom and start learning with lessons customized for you. Make most of our student success program.

Value Proposition

We offer a diverse range of interactive classes, ensuring accessible and personalized education for everyone, anytime, anywhere.

Carefully Curated Expert Instructors

All courses are taught by our expert instructors who are carefully chosen with a rigorous < 1% acceptance rate. For every 100 tutors interviewed, only 1 is chosen, ensuring you get the best.

Engaging and Interactive Classes

Each session is designed to be dynamic and captivating, ensuring the learner stays excited and engaged throughout.

Progress Reports

Our team works hard behind the scenes to create and maintain a meticulously detailed progress report for each learner as they progress through the sessions.

Session Recordings

The recordings of each session are automatically available in the app after 24 hours of each session, they are extremely helpful for revisions.

Certificates

Some rewards are necessary for motivating learners and Enthuziastic awards dedicated learners with official certificate of completion and if they win in any of our regular competitions, they are awarded the respective winners certificates.

Feedback and Assignments

Parents/Learners provide us regular feedback after every session through a formal submission in the app, this helps us customize the learning path after every session according to how the learners are responding to the tutoring.

Chat Communication

Connect with instructors and peer learners directly via our app's dedicated chat group for every batch fostering a community experience while learning together.

24/7 Support

We take great pride in our service delivery. We're here for you round the clock to address any questions or concerns.

Quality & Affordability

The entire Enthuziastic team strives hard to bring you high quality learning at affordable prices. Because of the support of learners like yourself, we continue to grow our offerings and keep making them more and more affordable.

Personal Family Buddy

You will be assigned a personal family buddy, whom you can continuously stay in touch through and beyond your learners learning journey. Whatever your needs are you can always reach out to your Family Buddy/Student Success Manager whose only job is to make your learning journey successful.

Carefully Curated Expert Instructors

All courses are taught by our expert instructors who are carefully chosen with a rigorous < 1% acceptance rate. For every 100 tutors interviewed, only 1 is chosen, ensuring you get the best.

Engaging and Interactive Classes

Each session is designed to be dynamic and captivating, ensuring the learner stays excited and engaged throughout.

Progress Reports

Our team works hard behind the scenes to create and maintain a meticulously detailed progress report for each learner as they progress through the sessions.

Session Recordings

The recordings of each session are automatically available in the app after 24 hours of each session, they are extremely helpful for revisions.

Certificates

Feedback and Assignments

Chat Communication

Connect with instructors and peer learners directly via our app's dedicated chat group for every batch fostering a community experience while learning together.

24/7 Support

We take great pride in our service delivery. We're here for you round the clock to address any questions or concerns.

Quality & Affordability

Personal Family Buddy

Frequently asked questions (FAQs)

Expand all

Understanding algebra and trigonometry provides essential skills for solving practical problems in fields like engineering, physics, and computer science, as well as in various everyday scenarios.

Yes, the course includes interactive exercises, problem-solving activities, and real-life applications to enhance learning and engagement

Yes, the course is designed to build a strong foundation in algebra and trigonometry, which can be beneficial for standardized tests that include these topics.

While a graphing calculator can be helpful, it is not mandatory. Many concepts can be understood with basic calculators and graphing tools provided in the course.

The course covers advanced algebraic concepts, including polynomial functions, rational expressions, and systems of equations, as well as trigonometric functions, identities, equations, and applications.

Do you have any questions?

Fill this form and we will respond back, on priority.

This course Includes

120 live tutoring sessions

Access on mobile and web

Certificate of completion

Hands-on Exercises & Practical Projects

Personalized Feedback & Coaching

Session Recordings for Rewatching

Typical Price

30-Day Money-Back Guarantee

Courses

Algebra 2 Trigonometry

Age group: 15-24

Content

Prerequisites

Basic understanding of algebraic concepts, including solving equations and inequalities, working with functions, and graphing.
Familiarity with geometric shapes, angles, and properties.
Ability to perform basic arithmetic operations, including addition, subtraction, multiplication, and division.

Objectives

Solve a range of algebraic expressions, equations, and inequalities: Develop proficiency in manipulating and solving linear and quadratic equations, polynomial functions, and rational expressions.
Understand and apply the properties of exponential, logarithmic, and trigonometric functions: Master the techniques for solving and graphing these functions and applying them to real-world scenarios.
Analyze and interpret trigonometric functions and their graphs: Gain skills in evaluating, graphing, and transforming trigonometric functions, and use these skills to solve practical problems.
Use vectors and matrices for problem-solving: Perform basic operations on vectors and matrices and apply these concepts in fields such as geometry, physics, and computer science.
Apply mathematical concepts to real-world problems: Utilize algebraic, trigonometric, and matrix concepts to solve practical problems in various disciplines, including engineering, finance, and physics.

Outcomes

Algebraic Expressions and Equations: Students will be able to solve linear equations and inequalities using various methods, apply properties of real numbers, and effectively manipulate algebraic expressions.
Quadratic Equations and Functions: Students will master techniques for solving quadratic equations, understand the properties and graphs of quadratic functions, and apply quadratic equations to real-world problems.
Polynomial Functions: Students will learn about polynomial functions, perform polynomial long and synthetic division, and understand the relationship between roots, factors, and graph behavior.
Rational Functions: Students will understand the properties and graphs of rational functions, perform operations on rational expressions, and apply rational functions to solve real-world problems.
Exponential and Logarithmic Functions: Students will master the properties and graphs of exponential and logarithmic functions, solve related equations, and apply these functions to scenarios involving growth, decay, and modeling.

Why learn with Enthuziastic?

Here's why more and more people are joining Enthuziastic

Personalized Lessons

Customize your lessons to meet your individual goals.

Expert Teachers

Top rated teachers to guide you through the learning process.

Flexible Timings

Attend classes anytime, anywhere. Make your own schedule.

Easy Rescheduling

Manage holidays or conflicting appointments easily by rescheduling classes.

Complete Support

A compassionate support team to listen to your needs.

Homework & Assignments

Reinforce your learning with practical homework and hands-on assignments.

Completion Certificate

You will get a certificate for the completion of the course.

Group Discussion & Peer Learning

Collaborate with peers through discussions and shared learning experiences.

Access to Alumni Community

Join a vibrant alumni network for support, insights, and continued learning.

Post-Course Support & Career Guidance

Get expert support and career advice even after the course ends.

How it works?

Enroll

Enroll for the course of your liking by selecting 1:1 or group classes. Choose the type of instructor you want to learn with.

Schedule

Download Enthu app and schedule classes for the day and time that works best for you. You own your learning schedule.

Learn

Join classes on Zoom and start learning with lessons customized for you. Make most of our student success program.

Value Proposition

We offer a diverse range of interactive classes, ensuring accessible and personalized education for everyone, anytime, anywhere.

Carefully Curated Expert Instructors

All courses are taught by our expert instructors who are carefully chosen with a rigorous < 1% acceptance rate. For every 100 tutors interviewed, only 1 is chosen, ensuring you get the best.

Engaging and Interactive Classes

Each session is designed to be dynamic and captivating, ensuring the learner stays excited and engaged throughout.

Progress Reports

Our team works hard behind the scenes to create and maintain a meticulously detailed progress report for each learner as they progress through the sessions.

Session Recordings

The recordings of each session are automatically available in the app after 24 hours of each session, they are extremely helpful for revisions.

Certificates

Feedback and Assignments

Chat Communication

Connect with instructors and peer learners directly via our app's dedicated chat group for every batch fostering a community experience while learning together.

24/7 Support

We take great pride in our service delivery. We're here for you round the clock to address any questions or concerns.

Quality & Affordability

Personal Family Buddy

Carefully Curated Expert Instructors

All courses are taught by our expert instructors who are carefully chosen with a rigorous < 1% acceptance rate. For every 100 tutors interviewed, only 1 is chosen, ensuring you get the best.

Engaging and Interactive Classes

Each session is designed to be dynamic and captivating, ensuring the learner stays excited and engaged throughout.

Progress Reports

Our team works hard behind the scenes to create and maintain a meticulously detailed progress report for each learner as they progress through the sessions.

Session Recordings

The recordings of each session are automatically available in the app after 24 hours of each session, they are extremely helpful for revisions.

Certificates

Feedback and Assignments

Chat Communication

Connect with instructors and peer learners directly via our app's dedicated chat group for every batch fostering a community experience while learning together.

24/7 Support

We take great pride in our service delivery. We're here for you round the clock to address any questions or concerns.

Quality & Affordability

Personal Family Buddy

Frequently asked questions (FAQs)

Expand all

Understanding algebra and trigonometry provides essential skills for solving practical problems in fields like engineering, physics, and computer science, as well as in various everyday scenarios.

Yes, the course includes interactive exercises, problem-solving activities, and real-life applications to enhance learning and engagement

Yes, the course is designed to build a strong foundation in algebra and trigonometry, which can be beneficial for standardized tests that include these topics.

While a graphing calculator can be helpful, it is not mandatory. Many concepts can be understood with basic calculators and graphing tools provided in the course.