Derivation of common trig functions and trig identities

From 51 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 -04:00)

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

(11)

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

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✅ Master the syllabus with clear, summarized notes
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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.

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Explore genuine reviews, powerful tests, and real student progress.
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📩 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

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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.

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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
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With excellent pedagogy that has proven itself even with students in difficulty
Varied media with a gradual level of difficulty
Flexible hours.

Harsh

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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!

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Struggling with school math or preparing for important exams?

In this class, I help students understand math clearly and build real confidence step by step. From middle school to university-level topics, lessons are adapted to each student’s level, goals, and learning style.

Whether you need help catching up, improving grades, preparing for exams, or mastering advanced topics, lessons focus on real understanding instead of memorization.

✨ Personalised approach
📘 Clear explanations and structured problem-solving
🏆 Experience with IB, OMPT, VWO, exams, and university math

Let’s turn “I don’t get it” into “I understand this.

Marko

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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

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Hello everyone,

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

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

Tyler

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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:
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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.

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Ali

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I offer one-to-one Maths tuition for GCSE, A-Level, and university students, both online and in person around Birmingham. Whether your child is struggling with the basics, preparing for upcoming exams, or aiming for top grades, I tailor every lesson to where they actually are — not where a textbook assumes they should be.

What I cover:

GCSE Maths (all exam boards — AQA, Edexcel, OCR)
A-Level Maths and Further Maths
University-level Maths for engineering and science students
Specific topics: algebra, trigonometry, calculus, statistics, mechanics, logic

How I teach:
I break difficult concepts down into simple steps, use plenty of worked examples, and give students clear practice between sessions. I'm patient with mistakes, encouraging when things feel hard, and honest about what needs work. Lessons are structured but relaxed students should feel comfortable asking "silly" questions, because those are usually the most important ones.
Exam season is right now, so if your child has GCSEs or A-Levels coming up, the next few weeks are the most important time to get focused support. I have limited slots available and can usually start within a few days.

Courage

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Algebra uses numbers and variables to determine numbers and variables. If you have a textbook that also helps too.

Trigonometry uses lines and angles to determine length, angles, and angles. It would help a lot if you have a textbook.

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Math ans Physics can be a real burden for some students, the target of this class is exaclty making them bearable and help the students find their own way into the subjects.
The priority will always be the student feeling comfortable in studying and finding the best way to approach Math.

The lessons will be targeted on the specific level of the students and the objectives will be defined together at the beginning of the classes.

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Do you need help with math? I can help!

I am an Electromechanical Engineer and am currently completing a Master's degree in Mathematics at UTP. I offer personalized classes for:
Algebra
Geometry
Trigonometry
Calculation
Exam and homework preparation

✨ Clear, patient methodology adapted to the student's level.
✨ Step-by-step explanations and guided exercises.
✨ Virtual or in-person option (depending on availability).

Samuel

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📚 Does your child have a math test to prepare for, but doesn't know where to start?
I offer fully customized math worksheets for middle and high school students.

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✅ the student's level
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The objective: to allow the student to work with clear, structured support directly adapted to their needs.

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I offer online mathematics lessons for students studying GCSE, IGCSE and early International A Level (IAL) mathematics. As a current high school student with a strong mathematical background and firsthand experience with these curricula, I understand the challenges students face and explain concepts in a clear and approachable way.

Lessons are tailored to each student and focus on understanding rather than memorisation. I can help with algebra, trigonometry, functions, statistics, homework, exam preparation and building confidence in mathematics.

I work mainly with GCSE, IGCSE and early IAL students, and I am happy to adapt lessons to each student's needs. Lessons are conducted online in a relaxed and friendly atmosphere.

Azhaan

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Mathematics can feel overwhelming when concepts stack up and one weak link makes the next chapter harder. I focus on rebuilding that foundation so students understand the reasoning behind each method, not just the steps to memorise.
Topics I cover: algebra (equations, inequalities, functions, polynomials), trigonometry (identities, graphs, sine and cosine rules), coordinate geometry, sequences and series, and problem-solving techniques for exam-style questions. Students I've worked with have ranged from those catching up on missed basics to those aiming for top marks in board exams and entrance tests.
Each session is shaped around the student. I usually start by asking what topic feels weakest, work through examples together, then let the student attempt problems while I guide them. I share concise notes after each session so nothing gets lost.
My background: I'm currently pursuing a B.Sc. in Information Engineering at TU München (Germany) and a B.Sc. in Data Science at IIT Madras (India). Previously I tutored 30+ university students in Oman with a 9.1/10 average rating across mathematics and programming courses.
Sessions are in English. Comfortable with CBSE, IGCSE, IB, A-Level, and Abitur (Grundkurs) syllabi.