Derivation of common trig functions and trig identities

From 50 C$ /h

I will take you through some common trigonometry functions by deriving the sin rule, cosine rule, and trig area of triangle. This requires you to have a grasp of basic trig (i.e. SOHCAHTOA). I will then take this basic trig to derive common trig identities.

Extra information

Bring a pen and paper or a tablet to make some notes.

Location

Online from United Kingdom

About Me

I have experience teaching KS2 to undergrad
I am exam marker for A'level (KS5) exam modules
I am a writer and proof reader for a publishing company
As a hobby i write maths eBooks (sell about 250 copies a month)
Written maths courses for two training companies
Excel and access trainer

Education

Mathematics at Open university
Mathematics at Bolton University
PGCE (M) at Bolton University
MPhil/ PhD Computational dynamics Manchester Metropolitan University

Experience / Qualifications

1st class hons degree (Mathematics)
Distinction PGCE (M) (numeracy teaching)
MPhil / PhD Computational fluid dynamics (not completed)

I am a qualified teacher. I have taught in classrooms, lecture theatres and conferences. I have taught for one-to-one , small groups, standard classes and lectures of up to 75 people. My teaching experience is in a classroom setting and also online.

Age

Teenagers (13-17 years old)

Adults (18-64 years old)

Seniors (65+ years old)

Student level

Intermediate

Advanced

Duration

60 minutes

The class is taught in

English

Skills

Trigonometry

Availability of a typical week

(GMT -05:00)

New York

Online via webcam

Mon

Tue

Wed

Thu

Fri

Sat

Sun

00-04

04-08

08-12

12-16

16-20

20-24

Math, exam prep, secondary maths, college maths, further maths

56 C$ /h

I teach mathematics at all levels. I like to look at maths from a different direction to help my students make links between different areas of mathematics.

I can run classes at any level of mathematics. I like to teach secondary level and specialise in college (A'level) mathematics. I can also teach further maths and statistics.

Mr.

5.0

(12)

📣 🔍 Are you looking for a qualified, passionate, and results-driven Math tutor for the British Curriculum?

I bring over 10 years of proven teaching experience in:
📘 IGCSE (O-Level & A-Level – AS/A2)
📘 Edexcel & Cambridge International Examinations
📘 Oxford & Cambridge Checkpoints (Grades 7–10)

I specialize in simplifying complex math topics in Algebra, Geometry, Calculus, and more — making math enjoyable and achievable for every student.

✨ Why Choose My Classes?
✅ Master the syllabus with clear, summarized notes
✅ Weekly tests & performance reports for parents
✅ Exam strategies & time-management tips
✅ Interactive visual explanations & engaging tools
✅ One-to-one or small group options available
✅ Supportive, motivating, and student-centered approach

🔥 SPARK Your Math Success!
No matter your child's current level, I tailor the journey to ensure real improvement and full exam readiness — all while building confidence and a love for math.

📍 Online or In-Person Sessions
🕒 Flexible Scheduling | 🧠All Grades Covered | 🏆High Achievement Rates
🌟 Real Voices. Real Results. Real Math Excellence. 🌟
Before you decide — see for yourself!
Explore genuine reviews, powerful tests, and real student progress.
📚 Check my certifications, sample solved exams, and success stories from students who turned math into their strongest subject.

👉 Because trust is earned — and results speak louder than promises.

📩 Message now to schedule your session and let's turn math into your child's strongest subject!
-----
Math teacher specializing in the British curriculum 📣
IGCSE (Ordinary and Advanced Level) | Edexcel and Cambridge Curricula | Checkpoints for Grades 7 to 10 | Oxford Programmes
Are you looking for a qualified and experienced math tutor to help your son or daughter excel in the British Diploma curriculum?

I have over 10 years of experience teaching mathematics at a professional level in:
📘 IGCSE Curriculum (O-Level and A-Level – AS/A2)
📘 Edexcel and Cambridge International Curricula
📘 Checkpoints for grades 7-10 in Oxford and Cambridge programs

I specialize in simplifying complex concepts in algebra, geometry, and calculus, making mathematics fun and easy to understand.

✨ Lesson features:
✅ Summarizing the curriculum and presenting it in an easy and clear manner
✅ Weekly tests and periodic reports for parents
✅ Training on exam strategies and time management
✅ Interactive explanation using modern visual tools
✅ Individual or small group lessons as needed
✅ Continuous support and motivation to build confidence and love for the subject

🔥 SPARK your child's future in mathematics!
Whatever his current level, I will design a personalized learning plan that will help him develop, excel, and be fully prepared for exams, while boosting his self-confidence and ability to confidently solve problems.

📍 In-person or online lessons
🕒 Flexible schedules | 🧠 All classes | 🏆 Guaranteed results, God willing

🌟 Real opinions, tangible results, and proven athletic excellence. 🌟
Before you decide... see for yourself!
Read reviews from previous students and see their experiences and real progress in mathematics.
📚 Check out my certified certificates, sample solved questions, and success stories that prove math can be easier and more fun than you can imagine.

👉 Because trust is built, and results speak louder than words.

📩 Message me now to book an assessment session and turn math into your child's favorite subject!

Pooja

5.0

(12)

I specialise in teaching Math for students from all ages up until A Levels. I feel that every student is unique in their own way of learning and capabilities. Truly understanding a students way of learning is the most effective way of ensuring that they learn information effectively. I feel that when it comes to Mathematics, ensuring that the student finds their own personal ways of understand basic principles and patterns of Math will enable them to apply this knowledge when faced with more complex exam style questions.

Samia

5.0

(12)

Mathematics is very important during school and to pass your exams you must prepare in advance, remedy your shortcomings and review your basics.

I am an experienced head teacher and I offer private INDIVIDUAL and PERSONALIZED revision lessons for students of
ALL LEVELS: Baccalaureate, high school, college, Brevet, primary
* remediation of deficiencies
* revision + summary of the basics
* series of exercises + applications
* practice exercises
* training in tests and exams
With excellent pedagogy that has proven itself even with students in difficulty
Varied media with a gradual level of difficulty
Flexible hours.

Dr.Ebrahim

5.0

(12)

Are you an engineering student looking to apply programming to solve complex mathematical and physical problems? This course bridges the gap between generic software coding and practical engineering applications.

What You Will Learn & Practice:
• MATLAB & Simulink: Mathematical modeling, simulating system dynamics, analyzing mechanical vibrations, and designing control systems.
• C++ for Hardware & Robotics: Developing robust code for embedded systems, microcontrollers (Arduino, ESP32), and preparing for advanced frameworks like ROS 2.
• Python for Engineering: Automating calculations, developing algorithms, handling data, and integrating software with engineering workflows.
• Professional Workflows: Setting up and utilizing industry-standard environments and tools such as VS Code, GitHub, and WSL2/Ubuntu.

Why This Course?
Generic programming courses often miss the engineering context. In this class, we focus specifically on how to write code that directly controls hardware, simulates physical systems, and processes engineering data, providing exactly what you need for your university assignments and graduation projects.

🎓 Target Audience: Mechatronics, Aerospace, and Mechanical Engineering Students
💻 Format: Online or in-person practical sessions
🗣️ Languages: English or Arabic

Book your session now to start writing code that solves real-world engineering challenges!

Harsh

5.0

(12)

I hold a degree in Electrical Engineering from the University of Wisconsin - Madison, USA, and relocated from London to Barcelona in 2023.

Mathematics has always been a huge passion of mine and I have found it helps in developing critical thinking and problem-solving skills. These skills are crucial in building confidence and nurturing creativity in students (I even use math to create music!).

I enjoy teaching various math topics, such as algebra, geometry, ratio and proportion, probability, and trigonometry, among others. I'm also equipped to assist students in preparing for 11+, 13+, GCSE, IB and SAT exams.

In addition to being a math tutor, I also have a certificate in TEFL. This has enabled me to design my lessons in a way that is more engaging and effective for students of all ages.

Having lived in five different countries, including the UK, Belgium, USA, India, and Spain, I bring a diverse perspective to my teaching. During my leisure time, I enjoy creating music, cooking, watching movies and running (mostly long walks these days!).

Please message me through Apprentus with any questions you may have. I'm eagerly looking forward to hearing from you!

Marko

5.0

(12)

Certified IB DP Math Teacher, dedicated to unlocking the world of numbers and equations for students around the globe.

With years of experience in teaching mathematics in an international context, I bring a dynamic and engaging approach to online math education. My extensive background ensures that I am well-equipped to navigate and enhance the learning journey for students in various international programs, including the Cambridge International Programs (IGCSE, AS, A Level). What sets my classes apart is the seamless integration of technology into the learning experience. I conduct my sessions using a graphic tablet, ensuring that the transition to the online format doesn't compromise the quality of education.
Each student receives a complete set of materials from the class via email in PDF format. This ensures that you have comprehensive notes and resources at your fingertips, aiding in thorough understanding and revision.
My classes are designed to be interactive, fostering student participation and collaboration in the virtual learning environment.
I understand the importance of catering to the individual needs and knowledge levels of each student. I adapt my teaching style to meet the unique requirements of my students, ensuring that the material is not only understood but mastered at a pace that suits them. Whether you're a beginner or an advanced learner, my goal is to create a supportive and inclusive learning environment tailored to your specific academic journey.

Prof

5.0

(12)

Hello everyone,

✅My name is Jamal, I am an experienced trainer, I provide personalized Maths and Physics-Chemistry lessons for each student

✅If you want to improve your level in Maths? or in Physics-Chemistry? or both ?

✅I offer lessons for primary, middle, high school and even adults.

✅My courses are intended for anyone wishing to study Maths and Physics, there is no prerequisite level, even the complete beginner can follow these courses.

✅The work is based on effective pedagogy in order to be able to assimilate the courses and pass the homework and exams by working on the course + Exercise series + TD + Exam corrections + Revision sheet...

✅I use presentations + games + videos + images + audios + homework between sessions...

If you need any help, please do not hesitate to contact me, I help students internationally to improve their grades and skills.

Ritesh

5.0

(12)

I provide online Mathematics tutoring for IB students, with particular experience supporting students at IB MYP and IB Diploma (DP) level, including Mathematics AA and AI at SL and HL.

My approach is not simply about giving students answers. I focus on helping them understand why a method works, how to approach unfamiliar problems, and how to present their solutions clearly.

My teaching approach
Every student is different. Some students need help with a particular topic, while others have gaps in their foundations that make later IB topics difficult.

In lessons, I try to identify where the difficulty actually comes from and then build the understanding step by step.

I encourage students to:

• understand concepts rather than memorise procedures;
• explain their reasoning;
• practise with progressively more challenging questions;
• learn from mistakes;
• develop an organised approach to exam questions.

My goal is to help students become more independent and confident mathematicians, rather than dependent on a tutor.
I provide mathematics tutoring for:

International Baccalaureate (IB Mathematics):
✔ MYP Mathematics (Years 2, 3, 4, 5 — Standard and Extended levels)
✔ DP Mathematics: Analysis & Approaches (AA) and Applications & Interpretation (AI) — SL and HL
✔ DP1, DP2, CP1 and CP2 support

Dutch Mathematics Curriculum:
✔ HAVO
✔ VWO
✔ VMBO
✔ Gymnasium

I have provided tutor for university entrance exams like
✔️ CCVX(Boswell Beta ,VWO Mathematics).
✔️ OMPT-A OMPT-B OMPT-D or OMPT-E

Subjects include algebra, calculus, statistics, geometry, and exam preparation.

With my background in mathematics and technology, I also help students develop the analytical thinking skills that are valuable for STEM studies and future careers.

Tyler

5.0

(12)

I have been tutoring mathematics professionally for 12 years, both online and in person, with 90% of my past students achieving A and A* grades in their subjects. Graduated as a Mechanical Engineer from the prestigious University College London (UCL), I bring a strong mathematical foundation and practical problem-solving skills to my tutoring.

If you are looking to improve your grades in class. I can help with that like many of my students have achieved:
C ---> A
A --> A+

As your math tutor, I will cater to your exact needs, offering support for all levels from primary school through high school. Whether you’re mastering basic arithmetic, fractions, and decimals in primary school, tackling algebra, geometry, and pre-calculus in middle school, or advancing to calculus, trigonometry, and statistics in high school, I’ve got you covered.

I can also prepare you for board exams like IGCSE, O-Level, A-Level, IB SL, IB HL, SAT, or ACT math sections. No matter your level, I’ll break down concepts to suit your pace and learning style.

My approach is all about intuitive understanding—helping you see the ‘how’ and ‘why’ behind the numbers—so you can excel in class and on exams. We’ll work with past papers and practice problems tailored to your curriculum, building your confidence and familiarity with test formats.

My goal is to make math enjoyable and accessible, ensuring you succeed at any stage of your academic journey.

Ali

5.0

(12)

I teach one-to-one Maths and Physics to GCSE, A-Level and university students, online and in person around Birmingham.

I hold an MSc in Electronics and Electrical Engineering with Distinction from the University of Chester, where I now teach and assess postgraduate students as a visiting lecturer. Alongside that I've been tutoring privately for several years, across GCSE, A-Level and first-year university modules. I've published two international conference papers, so the maths I teach isn't something I learned once and repeat from a textbook. I use it.

What I cover:

GCSE Maths and Physics, all exam boards including AQA, Edexcel, OCR and Eduqas
A-Level Maths, Further Maths and Physics
University Maths and engineering modules for science and engineering students
Individual topics including algebra, trigonometry, calculus, statistics, mechanics and logic

How I teach:

Every student starts in a different place, so the first thing I do is find out what they actually understand rather than what the syllabus assumes they should. From there I break difficult ideas into small steps, work through plenty of examples, and set focused practice between sessions.

I care more about a student knowing why a method works than memorising the steps, because understanding is what survives exam pressure when a question is worded unfamiliarly. Lessons are structured but relaxed. Students should feel comfortable asking the questions they think are silly, because those are usually the ones that matter most.

I'm patient with mistakes and honest about what still needs work. If a student isn't ready for a topic, I'll say so and we'll go back a step rather than pretend otherwise.

Term has just started, which is the best point in the year to build a routine before mocks in November and December. If your child is beginning Year 11 or Year 13, or retaking GCSE Maths this November, putting support in place now makes a real difference by the time the real papers arrive.

Thelma

5.0

(12)

Struggling with Maths? Let's work towards better grades together!
Hi, I'm Thelma, and I offer supportive online mathematics lessons for students studying GCSE, IGCSE, AS and A-Level Pure Mathematics.
Whether you're struggling with the basics, finding algebra confusing or preparing for an important examination, my lessons are designed around your learning needs and goals.

•We will focus on;

📘 GCSE & IGCSE Mathematics
Topics include:
• Number, fractions, percentages and ratios
• Algebra, equations and inequalities
• Geometry and mensuration
• Graphs and functions
• Trigonometry
• Statistics and probability

📗 AS & A-Level Pure Mathematics
Topics include:
• Algebra, simultaneous equations and polynomials
• Sequences and series, including arithmetic and geometric progressions
• Coordinate geometry
• Trigonometry and trigonometric identities
• Differentiation and integration
• Functions and other relevant syllabus topics

🎯 Exam Preparation
We will practise exam-style questions, review challenging topics, identify areas for improvement and work through solutions step by step. Where appropriate, we will use past papers from your examination board, including Pearson Edexcel and AQA.

💻 What to expect in my lessons
• Clear, step-by-step explanations
• Interactive online teaching and worked examples
• Practice questions suited to your level
• Lessons tailored to your goals
• Support with revision and homework questions

Whether you need help understanding a topic or want structured exam preparation, we can focus on the areas where you need the most support.
Ready to improve your understanding of Maths? Book a lesson, tell me your exam board and the topics you find difficult, and let's get started!

Tobias

5.0

(12)

Mathematics at university and school level, at any level.
It includes arithmetic, algebra, trigonometry, plane geometry, spatial geometry, linear algebra, analytic geometry, and differential calculus.
I also teach other subjects such as physics, thermodynamics, English, Portuguese, Spanish, and more.

Ivana

5.0

(12)

I am a qualified mathematician and an experienced teacher with many years of experience teaching mathematics, as well as extensive experience in individual lessons with school and university students.

I offer individual online lessons in geometry, trigonometry and calculus for school and university students. Lessons can also cover algebra, analytic geometry, derivatives, integrals and differential equations, as well as descriptive geometry and statics for students of technical secondary schools and technical university programs.

Thanks to my previous technical education in building construction, I also have a strong background in technical subjects and spatial geometry. I focus on clear, structured explanations, logical thinking and spatial visualization, adapting each lesson to the student's previous knowledge, curriculum and individual goals.

We can work on current school or university topics, solve exercises and assignments, fill gaps in knowledge, or prepare specifically for tests, exams and entrance examinations.

My goal is not simply to solve a problem for the student, but to explain the reasoning and methods so that they can understand them and apply them independently.

Lessons are taught online in Serbian, Bosnian or Croatian, making them particularly suitable for students from families from the former Yugoslavia who live and study in Germany, Austria, Switzerland or other countries.

Hanan

5.0

(12)

Experienced Math Teacher with a Master's degree and over 20 years of formal teaching experience offering personalized, high-impact mathematics tutoring.

Whether you are preparing for IBDP Exams (AA / AI), IGCSE, SAT, University entrance tests, or need ongoing support with high school math, my lessons focus on active problem-solving and deep conceptual understanding rather than simple memorization.

What we cover in class:
• IB Mathematics (AA & AI - SL/HL) & Guiding you through your Internal Assessments (IA)
• University & High School Calculus, Linear Algebra, Statistics & Geometry
• Proven exam strategies and step-by-step problem-solving techniques
• Customized study plans built around your diagnostic strengths and weaknesses

Lessons are tailored to your pace and available online via interactive digital tools (Geogebra, Desmos)

Ayesha

5.0

(12)

I am a passionate and dedicated Mathematics tutor with over 3 years of teaching experience, helping students develop a strong conceptual understanding and confidence in mathematics. With a background in Engineering and 5 years of professional IT experience at IBM, I bring analytical thinking, problem-solving skills, and a practical approach to teaching.

I have experience teaching students across different curricula, including CBSE, Cambridge, IGCSE, AS & A Levels, covering Core Mathematics, Pure Mathematics, Algebra, Geometry, Trigonometry, Calculus, and other advanced topics.

My teaching approach focuses on simplifying complex concepts, strengthening mathematical foundations, and developing logical reasoning through step-by-step explanations and effective problem-solving techniques.

I believe every student can excel in mathematics with the right guidance, encouragement, and learning strategies. My goal is not just to help students achieve better grades, but to make them confident, independent mathematical thinkers