Derivation of common trig functions and trig identities

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Algebra Algebra introduces students to the fundamental concepts of variables, expressions, equations, and functions. This course focuses on simplifying expressions, solving linear and quadratic equations, and working with polynomials and inequalities. Students will also explore systems of equations, exponents, and factoring techniques. The course builds the foundation for higher-level mathematics and problem-solving skills applicable in various real-world contexts. Trigonometry Trigonometry delves into the relationships between the sides and angles of triangles, especially right triangles. The course covers the study of trigonometric functions (sine, cosine, tangent, and their reciprocals), their graphs, and applications in real-world scenarios, such as waves, circular motion, and physics problems. Additionally, students will learn how to solve trigonometric equations, apply identities, and understand the unit circle and radian measure. This course prepares students for advanced topics in calculus and science-related fields. Geometry Geometry focuses on the study of shapes, sizes, relative positions of figures, and the properties of space. Students will explore points, lines, planes, angles, circles, polygons, and three-dimensional figures, along with theorems and postulates that explain their relationships. The course emphasizes logical reasoning, proofs, congruence, similarity, area, volume, and coordinate geometry. Geometry strengthens problem-solving and spatial reasoning skills, which are essential in fields like architecture, engineering, and design.

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Join my Online Mathematics Tutoring class for personalized, flexible support tailored to your unique learning needs. This interactive course offers one-on-one sessions with experienced tutors who will help you grasp mathematical concepts, tackle challenging problems, and build confidence in subjects ranging from basic arithmetic to advanced calculus. Utilizing digital tools and resources, our tutors provide real-time feedback and guidance, ensuring a comprehensive and engaging learning experience from the comfort of your own home. Whether you're preparing for exams, working on assignments, or seeking to deepen your understanding, this online tutoring class is designed to help you succeed at your own pace. I have achieved A* in Maths A-Level and an A in Further Maths A-Level with the Edexcel exam board, as well as an 8 (A*) in GCSE Maths and I am currently a Mathematics and Statistics student at Loughborough University.

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!

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Achieved high grade 8 in GCSE Maths -- predicted A* in A-Level (2024). When tutoring, I begin by figuring out the student's strongest and weakest areas. Afterwards, we start improving the weaker areas, followed by exercises that have a mixture of many different skills and then build knowledge up from there. In Maths, following a pattern of content learning and many practice questions right after does the trick!

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