A-level Maths

Lecturer explores fundamental trigonometric identities, starting with Pythagorean trigonometry (sin²θ + cos²θ = 1) from GCSE, derived using a unit circle and right triangle. They then define reciprocal trig functions and expand upon the initial identity to derive two more: cot²θ = cos²θ and tan²θ = sin²θ/cos²θ. Subscribe to @AxiomTutoringCourses for more advanced trigonometry lessons.

In this A-level trigonometry video, we delve into the essential compound angle formulae. You'll learn how to state the formulae for sine and cosine of sums and differences of angles. We'll explore how the odd and even properties of sine and cosine functions allow us to derive new expressions. This video will equip you to understand and derive formulae for sine, cosine, and tangent of A plus B and A minus B. Subscribe to @AxiomTutoringCourses for more A-level math tutorials.

Welcome to the third video in our A-level trigonometry series, where we build upon compound angle formulae. In this session, we will derive and understand the double angle formulae for sine, cosine, and tangent. We will explore how to express sine of 2x as 2 sine x cos x, and uncover the three distinct forms of the cosine of 2x identity. Subscribe to @AxiomTutoringCourses

In this A-level trigonometry video, we delve into the crucial skill of proving trigonometric identities. You'll learn how to strategically use known identities to manipulate and simplify expressions, transforming one side of an identity to match the other. We'll cover the proper use of equivalence notation and demonstrate working through examples, starting with a fundamental identity involving secant squared and then tackling a more complex triple angle identity. Subscribe to @AxiomTutoringCourses for more A-level math tutorials.

In this video, we delve into the crucial skill of proving trigonometric identities. Learn how to effectively use known trigonometric identities to manipulate and simplify expressions, transforming one side of an identity to match the other. We'll introduce the equivalence notation and emphasize the distinction between proving identities and solving equations. Through clear examples, you'll master the process of starting with the left-hand side and systematically working towards the right-hand side. Subscribe to @AxiomTutoringCourses for more A-level trigonometry tutorials.

In this A-level trigonometry video, we explore the graphs of sine, cosine, and tangent functions. We'll examine their key features, including maximum and minimum points, periods, and symmetry. Understanding these graphical characteristics is crucial for mastering trigonometric concepts. This video covers the graphs of y = sin x, y = cos x, and y = tan x within the domain of -2π to 2π. We'll identify their unique properties, such as rotational symmetry for sine and tangent, and y-axis symmetry for cosine. We'll also discuss the concept of periodicity and the presence of asymptotes in the tangent graph. Don't forget to subscribe to @AxiomTutoringCourses for more math tutorials.