Derivation of common trig functions and trig identities

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.

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I am a dedicated and passionate Mathematics Teacher with a robust foundation in teaching and a profound understanding of key mathematical disciplines. My expertise spans across six core areas: Calculus, Algebra, Trigonometry, Linear Algebra, Geometry, and Data Science. With a commitment to fostering a love for mathematics and empowering students to excel, I employ innovative teaching methods and personalized approaches to ensure each student reaches their full potential. Expertise Areas: 1. Calculus: Differential Calculus: Proficient in teaching the fundamentals of derivatives, rates of change, and optimization problems. Integral Calculus: Experienced in explaining integration techniques, area under curves, and applications in real-world scenarios. Multivariable Calculus: Skilled in handling advanced topics such as partial derivatives, multiple integrals, and vector calculus. 2. Algebra: Elementary Algebra: Adept at teaching basic algebraic concepts, including linear equations, polynomials, and factoring. Intermediate Algebra: Experienced in guiding students through quadratic equations, inequalities, and complex numbers. Advanced Algebra: Proficient in teaching topics such as matrices, determinants, and systems of equations. 3. Trigonometry: Basic Trigonometry: Skilled in teaching the fundamentals of trigonometric functions, identities, and their applications. Advanced Trigonometry: Experienced in handling more complex topics such as trigonometric equations, inverse functions, and polar coordinates. Geometry Integration: Proficient in integrating trigonometry with geometry to solve real-world problems and enhance understanding. 4. Linear Algebra: Matrix Operations: Proficient in teaching matrix addition, subtraction, multiplication, and determinants. Vector Spaces: Experienced in explaining vector spaces, subspaces, and linear transformations. Eigenvalues and Eigenvectors: Skilled in teaching the concepts of eigenvalues, eigenvectors, and their applications in various fields. 5. Geometry: Euclidean Geometry: Adept at teaching the fundamentals of points, lines, angles, and shapes. Coordinate Geometry: Experienced in guiding students through the use of coordinates and algebraic methods to solve geometric problems. Advanced Geometry: Proficient in teaching topics such as conic sections, transformations, and three-dimensional geometry. 6. Data Science: Data Analysis: Skilled in teaching statistical methods, data visualization, and interpretation of data. Machine Learning: Experienced in introducing basic machine learning concepts and algorithms. Programming for Data Science: Proficient in teaching programming languages such as Python and R, and their applications in data science. Teaching Philosophy: Interactive Learning: I believe in creating an interactive and engaging learning environment where students can actively participate and explore mathematical concepts. Personalized Instruction: Tailoring my teaching methods to meet the unique needs and learning styles of each student, ensuring they grasp difficult concepts with ease. Real-World Applications: Emphasizing the practical applications of mathematics to help students see the relevance and importance of what they are learning. Professional Achievements: Curriculum Development: Designed and implemented comprehensive curricula that align with educational standards and promote critical thinking. Student Success: A proven track record of helping students achieve significant improvements in their mathematical skills and test scores. Professional Development: Continuously engage in professional development to stay updated with the latest teaching methodologies and technologies.

I hold a degree in Electrical Engineering from the University of Wisconsin - Madison, USA, and I've recently relocated from London to Barcelona. 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, and IB 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!

Unlock the secrets of trigonometry with my interactive course designed specifically for students in and preparing for IB, AP, Class 11 and Class 12 exams. Whether you're tackling sine, cosine, tangent, or their applications in real-world problems, this class has you covered. Through a mix of theoretical explanations and practical exercises, you will gain a solid understanding of trigonometry concepts and how they apply to your specific syllabus. Boost your confidence and exam readiness as we explore everything from basic angles to complex trigonometric identities. Join me to transform your approach to math and excel in your academic journey!

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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.

Mathematics is all around us and can be applied in different parts of life. In my class, students will actively participate through problem-solving, discussions, and hands-on activities. My teaching styles will be tailored to accodiate the different levels and abilities students may have. We will use learning tools such as videos, visual aids, games and real-world examples. By the end of my teaching, students will have the ability to apporach problems methodically, using logic and creativity to fid solutions.

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I teach mathematics based on the official program but taking examples from professional life to show the practical interest of mathematics. I illustrate the theoretical parts with concrete cases to visualize the basic concepts and allow a better understanding, more intuitive and natural, which promotes memorization. I use the exercises to train the student while having fun. We review the theoretical lessons together and we redo the exercises and tests together. This way, the student memorizes the concepts better. Lessons take place at the Porte de Namur office or at the student's home (center of Brussels). I am a computer engineer, project manager in a large international company. I followed the classic path of French engineers, from primary school to the Grande Ecole (Ecole Centrale de Lyon). I am now based in Brussels and give courses in Brussels or remotely via Skype/Teams...

Hi, I am Gabrielle! I am an Actuarial and Applied Maths graduate student from the University of New South Wales in Sydney, Australia. I pursued my associate degree in Actuarial Science at Macquarie University afterward and now I have been working full time in the actuarial industry for almost 5 years. I love teaching and want to continue helping students enjoying Mathematics :) Mathematics has been one of my favorite subjects since high school and that's the reason why I am still excited to tutor in my spare time. I want to help students reach their best potential in Maths. When I was in junior high school, I started to give a lesson to a few of my friends in various subjects such as Science, Math, and Mandarin. It was the first step for me toward realizing that I love teaching. After I graduated from junior high school, I looked for a more challenging job, which was being a tutor outside the school environment. For two years, I taught students in general subjects but mostly in Mathematics. I got an opportunity after I graduated from senior high school to be an Assistant Teacher in one of the schools in my hometown. I was excited about that so I took that job during my holiday months. I was replaced in grades 10, 11, and 12 as a Maths Assistant Teacher, and it such an incredibly amazing experience for me. I graduated with a GPA of 9.3 from the UNSW Foundation Studies Program. I was a finalist in the Mathematics Olympiad Science National in 2009. I was also a finalist in the Astronomy Olympiad Science National in 2011.