Derivation of common trig functions and trig identities

From 26 £ /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

29 £ /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.

Pooja

5.0

(3)

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

(3)

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

(3)

i can explain Math for grade 1 to college calculus, Geometry, Algebra, and mathematics skills SAT, MAT 117 for business Arizona University and Khan Academy,
[So I started tutoring to keep others out of that aggravating, time-sucking cycle. Since then, I’ve recorded tons of videos and written out cheat-sheet style notes and formula sheets to help every math student—from basic middle school classes to advanced college calculus—figure out what’s going on, understand the important concepts, and pass their classes, once and for all.
Say goodbye to confusing math.😜]
I will provide you with complete assistance and help in learning any sort of mathematics and physics from basic school mathematics university mathematics or physics. We can have regular online sessions or I can provide you with written material as you demand. We can also have a permanent daily basis or weekly basis tutorials and will teach you all the concepts that can help you to prepare for exams or quizzes and will help you to get good grades in school and college.
We put the student on the right path and make him solve the tests alone after a lot of training together.

Harsh

5.0

(3)

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

(3)

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

(3)

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.

Tyler

5.0

(3)

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.

Aafaq

5.0

(3)

This course in Mathematics: Geometry and Trigonometry offers students a comprehensive understanding of two foundational branches of mathematics. Designed to develop both conceptual knowledge and problem-solving skills, the class begins with the study of geometric figures, exploring their properties, relationships, and applications. Students will engage with key topics such as points, lines, angles, triangles, polygons, circles, area, volume, and coordinate geometry. Through hands-on activities and visual reasoning, learners will deepen their spatial understanding and logical thinking.
The trigonometry portion of the course introduces students to the relationships between angles and sides of triangles, focusing on the sine, cosine, and tangent ratios. Students will explore the unit circle, radian measure, trigonometric identities, and real-world applications including wave functions and navigation problems. Emphasis is placed on connecting geometry and trigonometry to practical contexts, encouraging students to see the relevance of these concepts in science, engineering, and everyday life.
Throughout the course, learners will build proficiency through guided practice, collaborative work, and real-world problem sets. Whether preparing for advanced mathematics, standardized tests, or practical application, students will leave the course with a solid foundation in both geometry and trigonometry.

Sofia

5.0

(3)

Hey!

Boost your math skills with clear explanations, practical exercises, and an effective methodology. I cover all levels and all the important concepts, from middle school to university.

Interactive courses adapted to your pace.

Ali

5.0

(3)

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.

Samuel

5.0

(3)

📚 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.

You simply tell me:
✅ the student's level
✅ the relevant chapter
✅ the difficulties encountered

I then prepare a complete, print-ready PDF with:
📘 The essential points of the course explained clearly
🧠 Detailed step-by-step methods
✏️ Adapted and progressive exercises
📝 A sample test for practice
✅ a complete and detailed correction

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

Tomasz

5.0

(3)

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

5.0

(3)

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.

Huzaifah

5.0

(3)

Mathematics Made Easy – Learn with Confidence
Do you find mathematics difficult or confusing? My goal is to make math simple, enjoyable, and easy to understand.
I am a Mathematics graduate from Quaid-i-Azam University, Pakistan, and I teach students of different levels with patience and clear explanations. Whether you need help improving your grades, preparing for exams, or strengthening your mathematical foundation, I will guide you step by step.
I can help you with:
Algebra
Calculus
Trigonometry
Geometry
Linear Algebra
Differential Equations
Probability & Statistics
Discrete Mathematics
University Mathematics
Exam Preparation
Homework & Assignments

What you can expect from my lessons:
✔ Simple and easy-to-understand explanations

✔ Personalized lessons based on your learning style

✔ Practice questions with detailed solutions

✔ Patient and friendly teaching environment

✔ Regular progress tracking

My teaching philosophy is that every student can excel in mathematics with the right guidance and consistent practice. I focus on building confidence rather than memorization, helping students develop strong problem-solving skills that last.
Whether you're a school student, college student, or university student, I look forward to helping you achieve your academic goals.
Book a lesson today, and let's make mathematics your strength!

Tobias

5.0

(3)

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.